eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-29
41
2
291
306
609
Stochastic differential inclusions of semimonotone type in Hilbert spaces
H. Abedi
h.abedi7@gmail.com
1
University of Kashan
In this paper, we study the existence of generalized solutions for
the infinite dimensional nonlinear stochastic differential
inclusions $dx(t) in F(t,x(t))dt +G(t,x(t))dW_t$ in which the multifunction $F$
is semimonotone and hemicontinuous and the operator-valued multifunction $G$ satisfies a Lipschitz condition.
We define the It^{o} stochastic integral of operator set-valued stochastic processes
with respect to the cylindrical Brownian motion on separable Hilbert spaces.
Then, we generalize the existence results for
differential inclusions in [H. Abedi and R. Jahanipur, Nonlinear differential inclusions of semimonotone and
condensing type in Hilbert spaces,
textit{Bull. Korean Math. Soc.},
{52} (2015), no. 2, 421--438.] to the corresponding stochastic differential inclusions
using the methods discussed in [R. Jahanipur, Nonlinear functional differential equations of monotone-type in
Hilbert spaces, {it Nonlinear Analysis} {bf 72} (2010), no. 3-4, 1393--1408,
R. Jahanipur, Stability of stochastic delay evolution equations with monotone
nonlinearity, {it Stoch. Anal. Appl.}, {bf 21} (2003), 161--181, and
R. Jahanipur, Stochastic functional evolution equations with monotone
nonlinearity: existence and stability of the mild solutions, {it J. Differential Equations} {bf 248} (2010), no. 5, 1230--1255.]
http://bims.iranjournals.ir/article_609_1f6207d995c810c1dfea87b7aad3943e.pdf
Stochastic differential inclusions
Stochastic set-valued integrals
Generalized solutions
Semimonotone and hemicontinuous set-valued process
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
307
314
610
Periodic solutions of fourth-order delay differential equation
S. Balamuralitharan
balamurali.maths@gmail.com
1
SRM UNIVERSITY,
In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$ is investigated. Some new positive periodic criteria are given. <br />
http://bims.iranjournals.ir/article_610_0669d6cfade607a09955798000b786fb.pdf
Fourth-order delay differential equation
periodic solutions
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
315
324
611
On group equations
S. K. Prajapati
skprajapati.iitd@gmail.com
1
R. Sarma
ritumoni@maths.iitd.ac.in
2
Postdoctoral Fellow, Indian Statistical Institute Bangalore, India
Assistant Professor in Indian Institute of Technology Delhi, India.
Suppose $f$ is a map from a non-empty finite set $X$ to a finite group $G$. Define the map $zeta^f_G: Glongrightarrow mathbb{N}cup {0}$ by $gmapsto |f^{-1}(g)|$. In this article, we show that for a suitable choice of $f$, the map $zeta^f_G$ is a character. We use our results to show that the solution function for the word equation $w(t_1,t_2,dots,t_n)=g$ ($gin G$) is a character, where $w(t_1,t_2,dots,t_n)$ denotes the product of $t_1,t_2,dots,t_n,t_1^{-1},t_2^{-1},dots,t_n^{-1}$ in a randomly chosen order.
http://bims.iranjournals.ir/article_611_12adc2b3a8b377f26a5c5fcccd2a6e5e.pdf
finite groups
word equations
group characters
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
325
332
612
On convolution properties for some classes of meromorphic functions associated with linear operator
A. O. Mostafa
adelaeg254@yahoo.com
1
M. K. Aouf
mkaouf127@yahoo.com
2
Mansoura University
Mansoura University
In this paper, we defined two classes $S_{p}^{ast }(n,lambda ,A,B)$ and\ $ <br />K_{p}(n,lambda ,A,B)$ of meromorphic $p-$valent functions associated with a <br />new linear operator. We obtained convolution properties for functions in <br />these classes.
http://bims.iranjournals.ir/article_612_590cf75895c8f28ff23ee8a78d859103.pdf
meromorphic functions
Subordination
Hadamard product
Linear operator
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
333
352
613
Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems
J. Rashidinia
rashidinia@iust.ac.ir
1
M. Nabati
m_nabati@iust.ac.ir
2
S. Ahanj
sara_ahj@yahoo.com
3
Iran University of Science and Technology.
Iran University of Science and Technology
Iran University of Science and Technology
In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in the literature. The results of this paper confirm that our method is very fast, simple and considerably accurate.
http://bims.iranjournals.ir/article_613_9389951776f7625517a1549fb3b42656.pdf
Sinc-Galerkin method
double exponential transformation
nonlinear singular boundary value problems
ordinary differential equation
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
353
362
614
Linear Weingarten hypersurfaces in a unit sphere
X. Chao
xlchao@seu.edu.cn
1
Southeast University, 210096, Nanjing, P. R. China
In this paper, by modifying Cheng-Yau$'$s technique to complete hypersurfaces in $S^{n+1}(1)$, we prove a rigidity theorem under the hypothesis of the mean curvature and the normalized scalar curvature being linearly related which improve the result of [H. Li, Hypersurfaces with constant scalar curvature in space forms, {em Math. Ann.} {305} (1996), 665--672].
http://bims.iranjournals.ir/article_614_467b351f3229b132f0998ad7225bab2f.pdf
Linear Weingarten hypersurface
generalized maximum principle
rigidity
theorem
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
363
374
615
The distributional Henstock-Kurzweil integral and measure differential equations
H. Zhou
linyizhouhao@126.com
1
G. Ye
yegj@hhu.edu.cn
2
W. Liu
liuw626@163.com
3
O. Wang
18751985160@163.com
4
ollege of Science, Hohai University, Nanjing 210098, P. R. China
College of Science, Hohai University, Nanjing 210098, P. R. China
College of Science, Hohai University, Nanjing 210098, P. R. China
College of Science, Hohai University, Nanjing 210098, P. R. China
In the present paper, measure differential equations involving the distributional Henstock-Kurzweil integral are investigated. Theorems on the existence and structure of the set of solutions are established by using Schauder$^prime s$ fixed point theorem and Vidossich theorem. Two examples of the main results paper are presented. The new results are generalizations of some previous results in the literatures.
http://bims.iranjournals.ir/article_615_8acffba2959061d65bbf251eaa1fa65b.pdf
Distributional Henstock-Kurzweil integral
measure differential equation
Henstock-Stieltjes
integral
distributional derivative
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
375
380
616
Almost power-Hermitian rings
N. Ashrafi
ashrafi49@yahoo.com
1
M. Sheibani
m.sheibani1@gmail.com
2
H. Dehghany
hajardehghany90@gmail.com
3
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
In this paper we define a new type of rings ”almost powerhermitian <br />rings” (a generalization of almost hermitian rings) and establish <br />several sufficient conditions over a ring R such that, every regular <br />matrix admits a diagonal power-reduction.
http://bims.iranjournals.ir/article_616_9038a415f2fd2179c7f8050f766797db.pdf
Diagonal power-reduction
exchange ring
regular ring
power-substitution property
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
381
387
617
On spectral radius of strongly connected digraphs
J. Li
lijp06@163.com
1
B. Zhou
zhoubo@scnu.edu.cn
2
Department of Mathematics, South China Normal University, and Faculty of Applied Mathematics, Guangdong University of Technology
Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China
It is known that the directed cycle of order $n$ uniquely achieves the minimum spectral
radius among all strongly connected digraphs of order $nge 3$.
In this paper, among others, we determine the digraphs which achieve the second, the third
and the fourth minimum spectral radii respectively among strongly connected
digraphs of order $nge 4$.
http://bims.iranjournals.ir/article_617_ba726fe1c4c511605c20112260ca365b.pdf
Spectral radius
strongly connected digraph
nonnegative irreducible matrix
bicyclic digraph
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
389
405
618
Uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation
Z. Liu
zeqingliu@163.com
1
Z. Wu
zhihuawu_dl@163.com
2
J. S. Ume
jsume@changwon.ac.kr
3
S. M. Kang
smkang@gnu.ac.kr
4
Liaoning Normal University
Liaoning Normal University
Department of Mathematics, Changwon National University
Gyeongsang National University
In this paper we consider the second order nonlinear <br />neutral delay partial difference equation <br />$Delta_nDelta_mbig(x_{m,n}+a_{m,n}x_{m-k,n-l}big)+ <br />fbig(m,n,x_{m-tau,n-sigma}big)=b_{m,n}, mgeq m_{0},, <br />ngeq n_{0}.$<br />Under suitable conditions, by making use of the Banach fixed point <br />theorem, we show the existence of uncountably many bounded <br />positive solutions for the above partial difference equation. <br />Three nontrivial examples are given to illustrate the advantages <br />of our results. <br />
http://bims.iranjournals.ir/article_618_f85997965fd591bde2437b36149d7fd1.pdf
Uncountably many bounded
positive solutions
second order nonlinear neutral delay partial
difference equation
Banach fixed point theorem
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
407
422
619
Random coincidence point results for weakly increasing functions in partially ordered metric spaces
A. R. Khan
arahim@kfupm.edu.sa
1
N. Hussain
nhusain@kau.edu.sa
2
N. Yasmin
usyasmin@yahoo.com
3
N. Shafqat
naeem781625@yahoo.com
4
Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 3126, Saudia Arabia
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
Centre for Advanced Studies in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, Pakistan
entre for Advanced Studies in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, Pakistan
The aim of this paper is to establish random coincidence
point results for weakly increasing random operators in the setting
of ordered metric spaces by using generalized altering distance
functions. Our results present random versions and extensions of
some well-known results in the current literature.
http://bims.iranjournals.ir/article_619_396d1f2ed3aa9d2b238c83b851db8e48.pdf
Random coincidence point
altering distance function
partially
ordered metric space
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
423
428
620
The Artinian property of certain graded generalized local chohomology modules
Y. Gu
guyan@suda.edu.cn
1
L. Chu
chulizhong@suda.edu.cn
2
Department of Mathematics, Soochow University
Department of Mathematics, Soochow University
Let $R=oplus_{nin Bbb N_0}R_n$ be a <br />Noetherian homogeneous ring with local base ring <br />$(R_0,frak{m}_0)$, $M$ and $N$ two finitely generated graded <br />$R$-modules. Let $t$ be the least integer such that <br />$H^t_{R_+}(M,N)$ is not minimax. We prove that <br />$H^j_{frak{m}_0R}(H^t_{R_+}(M,N))$ is Artinian for $j=0,1$. Also, <br />we show that if ${rm cd}(R_{+},M,N)=2$ and $tin Bbb N_0$, then <br />$H^t_{frak{m}_0R}(H^2_{R_+}(M,N))$ is Artinian if and only if <br />$H^{t+2}_{frak{m}_0R}(H^1_{R_+}(M,N))$ is Artinian.
http://bims.iranjournals.ir/article_620_5dcf718447115c1d4444aeb030bb8f56.pdf
Graded local cohomology modules
Artinian
modules
minimax
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
429
451
621
On certain subclasses of univalent $p$-harmonic mappings
J. Qiao
mathqiao@126.com
1
J. Chen
jiqiang516@163.com
2
M. Shi
mingyulj08@163.com
3
Department of Mathematics, Hebei University, Baoding, Hebei 071002, People&#039;s Republic of China
School of Science, Hebei University of Engineering, Handan, Hebei 056038, People's Republic of China
Department of Mathematics, Hebei University, Baoding, Hebei 071002, People's Republic of China
In<br />this paper, the main aim is to introduce the class $mathcal<br />{U}_p(lambda,alpha,beta,k_0)$ of $p$-harmonic mappings together<br />with its subclasses $mathcal<br />{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ and $mathcal<br />{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p^0$, and<br />investigate the properties of the mappings in these classes. First,<br />we give a sufficient condition for mappings to be in $mathcal<br />{U}_p(lambda,alpha,beta,k_0)$ and also the characterization of<br />mappings in $mathcal {U}_p(lambda,alpha,beta,k_0)capmathcal<br />{T}_p$ for $max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq<br />alphaleq lambda$. Second, we consider the starlikeness of<br />mappings in $mathcal {U}_p(lambda,alpha,beta,k_0)capmathcal<br />{T}_p^0$ for $max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq<br />alphaleq lambda$. Third, extreme points of $mathcal<br />{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ for<br />$max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq alphaleq<br />lambda$ are found. The support points of $mathcal<br />{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ for<br />$max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq alphaleq<br />lambda$ and convolution of mappings in $mathcal<br />{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ for<br />$max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq alphaleq<br />lambda$ are also discussed.
http://bims.iranjournals.ir/article_621_d88bf78f4330420a24f1a321805a7cc7.pdf
$p$-harmonic mapping
uniform convexity
uniform starlikeness
extreme point
support point
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-29
41
2
453
462
622
On constant products of elements in skew polynomial rings
W. Chen
wxchen5888@163.com
1
School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai, 264005)
Let $R$ be a reversible ring which is $alpha$-compatible for an endomorphism $alpha$ of $R$ and $f(X)=a_0+a_1X+cdots+a_nX^n$ be a nonzero skew polynomial in $R[X;alpha]$. It is proved that if there exists a nonzero skew polynomial $g(X)=b_0+b_1X+cdots+b_mX^m$ in $R[X;alpha]$ such that $g(X)f(X)=c$ is a constant in $R$, then $b_0a_0=c$ and there exist nonzero elements $a$ and $r$ in $R$ such that $rf(X)=ac$. In particular, $r=ab_p$ for some $p$, $0leq pleq m$, and $a$ is either one or a product of at most $m$ coefficients from $f(X)$. Furthermore, if $b_0$ is a unit in $R$, then $a_1,a_2,cdots, a_n$ are all nilpotent. As an application of the above result, it is proved that if $R$ is a weakly 2-primal ring which is $alpha$-compatible for an endomorphism $alpha$ of $R$, then a skew polynomial $f(X)$ in $R[X;alpha]$ is a unit if and only if its constant term is a unit in $R$ and other coefficients are all nilpotent.
http://bims.iranjournals.ir/article_622_9f1ac6891d2a8dd6f84d434909052144.pdf
Constant products
skew polynomial rings
reversible rings
weakly 2-primal rings
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
463
475
623
Conformal mappings preserving the Einstein tensor of Weyl manifolds
M. Gürlek
mgurlek@itu.edu.tr
1
G. Çivi
civi@itu.edu.tr
2
Istanbul Technical university Maslak
Istanbul technical university Faculty of Science and letters, dept . of Math., maslak
In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds related by a conformal mapping preserving the Einstein tensor with a gradient covector field. Then, we prove that a Weyl manifold $W_n$ and a flat Weyl manifold $tilde{W}_n$, which are in a conformal correspondence preserving the Einstein tensor are Einstein-Weyl manifolds. Moreover, we show that an isotropic Weyl manifold is an Einstein-Weyl manifold with zero scalar curvature and we obtain that a Weyl manifold $W_n$ and an isotropic Weyl manifold related by the conformal mapping preserving the Einstein tensor are Einstein-Weyl manifolds.
http://bims.iranjournals.ir/article_623_d097ee44c57dfd39ee745fc63874c1bf.pdf
Weyl manifold
Einstein tensor
conformal mapping
flat Weyl manifold
isotropic Weyl manifold
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
477
489
624
On difference sequence spaces defined by Orlicz functions without convexity
H. Dutta
hemen_dutta08@rediffmail.com
1
L. Kočinac
lkocinac@gmail.com
2
Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India
Univeristy of East Sarajevo Bosnia and Herzegovina
In this paper, we first define spaces of single difference sequences defined by a sequence of Orlicz functions without <br />convexity and investigate their properties. Then we extend this idea to spaces of double sequences and present a <br />new matrix theoretic approach construction of such double sequence spaces. <br />
http://bims.iranjournals.ir/article_624_f4c7b7c1145153b4c782097906dcbcf9.pdf
Difference sequence space
$K$-function
$F$-space
$AK$-space
Frechet space
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
491
498
625
Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation
Y. Huang
huang11261001@163.com
1
Chuxiong Normal University
Based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the Korteweg-de Vries (KdV) equation are first constructed by the known Darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude depend on some rational functions. <br />
http://bims.iranjournals.ir/article_625_b2a5ddcacb911eb08615e742f7225ac1.pdf
Lax system
KdV
equation
Darboux transformation
singular periodic solution
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
499
518
626
On the non-split extension $2^{2n}{^{cdot}}Sp(2n,2)$
A. B. M. Basheer
ayoubbasheer@gmail.com
1
J. Moori
jamshid.moori@nwu.ac.za
2
School of Mathematical Sciences, North-West University (Mafikeng)
North-West University
In this paper we give some general results on the non-split<br />extension group $overline{G}_{n} = 2^{2n}{^{cdot}}Sp(2n,2), ngeq<br />2.$ We then focus on the group $overline{G}_{4} =<br />2^{8}{^{cdot}}Sp(8,2).$ We construct $overline{G}_{4}$ as a<br />permutation group acting on 512 points. The conjugacy classes are<br />determined using the coset analysis technique. Then we determine the<br />inertia factor groups and Fischer matrices, which are required for<br />the computations of the character table of $overline{G}_{4}$ by<br />means of Clifford-Fischer Theory. There are two inertia factor<br />groups namely $H_{1} = Sp(8,2)$ and $H_{2} = 2^{7}{:}Sp(6,2),$ the<br />Schur multiplier and hence the character table of the corresponding<br />covering group of $H_{2}$ were calculated. Using the information on<br />conjugacy classes, Fischer matrices and ordinary and projective<br />tables of $H_{2},$ we concluded that we only need to use the<br />ordinary character table of $H_{2}$ to construct the character table<br />of $overline{G}_{4}.$ The Fischer matrices of $overline{G}_{4}$<br />are all listed in this paper. The character table of<br />$overline{G}_{4}$ is a $195 times 195$ complex valued matrix, it<br />has been supplied in the PhD Thesis of the first<br />author, which could be accessed online.
http://bims.iranjournals.ir/article_626_fbf7a9d839898e046b0c428064dd9515.pdf
Group extensions
symplectic group
character
table
inertia groups
Fischer matrices
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
519
527
627
Application of measures of noncompactness to infinite system of linear equations in sequence spaces
A. Alotaibi
mathker11@hotmail.com
1
M. Mursaleen
mursaleenm@gmail.com
2
S. A. Mohiuddine
mohiuddine@gmail.com
3
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia, and, Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India, and, Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia, and, Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
G. Darbo [Rend. Sem. Math. Univ. Padova, 24 (1955) 84--92] used the measure of noncompactness to investigate operators whose properties can be characterized as being intermediate between those of contraction and compact operators. In this paper, we apply the Darbo's fixed point theorem for solving infinite system of linear equations in some sequence spaces.
http://bims.iranjournals.ir/article_627_feb3b9c527fe3048301249148495a3d7.pdf
Sequence spaces
matrix transformations
Hausdorff measure of noncompactness
Darbo's
fixed point theorem
infinite system of linear equations
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
529
542
628
Generalized Drazin inverse of certain block matrices in Banach algebras
M. Z. Kolundžija
mkolundzija@pmf.ni.ac.rs
1
D. Mosić
dijana@pmf.ni.ac.rs
2
D. S. Djordjević
dragan@pmf.ni.ac.rs
3
University of Nis, Faculty of Science and Mathematics
University of Niš, Faculty of Science and Mathematics
University of Nis, Faculty of Science and Mathematics
Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form. <br />
http://bims.iranjournals.ir/article_628_ac76307ab2166b9e759cb6eb26ddd98f.pdf
Generalized Drazin inverse
Schur
complement
block matrix
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-04-01
41
2
543
544
629
Erratum: Applications of epi-retractable and co-epi-retractable modules
H. Mostafanasab
h.mostafanasab@gmail.com
1
University of Mohaghegh Ardabili
In this errata, we reconsider and modify two propositions and their corollaries which were written on epi-retractable and co-epi-retractable modules.
http://bims.iranjournals.ir/article_629_0fa67d26b80a82147d5fff272a9eb0f9.pdf
Epi-retractable modules
co-epi-retractable modules
Hereditary rings