Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
Iterative algorithm for the generalized $(P,Q)$reflexive solution of a quaternion matrix equation with $j$conjugate of the unknowns
1
22
EN
N.
Li
Shandong University of Finance and Economics
lnsdfi@163.com
In the present paper, we propose an iterative algorithm for solving the generalized $(P,Q)$reflexive solution of the quaternion matrix equation $overset{u}{underset{l=1}{sum}}A_{l}XB_{l}+overset{v} {underset{s=1}{sum}}C_{s}widetilde{X}D_{s}=F$. By this iterative algorithm, the solvability of the problem can be determined automatically. When the matrix equation is consistent over a generalized $(P,Q)$reflexive matrix $X$, a generalized $(P,Q)$reflexive solution can be obtained within finite iteration steps in the absence of roundoff errors, and the least Frobenius norm generalized $(P,Q)$reflexive solution can be obtained by choosing an appropriate initial iterative matrix. Furthermore, the optimal approximate generalized $(P,Q)$reflexive solution to a given matrix $X_{0}$ can be derived by finding the least Frobenius norm generalized $(P,Q)$reflexive solution of a new corresponding quaternion matrix equation. Finally, two numerical examples are given to illustrate the efficiency of the proposed methods.
Quaternion matrix equation,generalized
$(P,Q)$reflexive solution,iterative method,optimal approximate solution
http://bims.iranjournals.ir/article_587.html
http://bims.iranjournals.ir/article_587_d3b1d745724dc512671e8aab4273eea4.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
On ideals of ideals in $C(X)$
23
41
EN
F.
Azarpanah

azarpanah@ipm.ir
A. R.
Olfati
Chamran University, Ahvaz,
olfati.alireza@gmail.com
In this article, we have characterized ideals in $C(X)$ in which every ideal is also an ideal (a $z$ideal) of $C(X)$. Motivated by this characterization, we observe that $C_infty(X)$ is a regular ring if and only if every open locally compact $sigma$compact subset of $X$ is finite. Concerning prime ideals, it is shown that the sum of every two prime (semiprime) ideals of each ideal in $C(X)$ is prime (semiprime) if and only if $X$ is an $F$space. Concerning maximal ideals of an ideal, we generalize the notion of separability to ideals and we have proved the coincidence of separability of an ideal with dense separability of a subspace of $beta X$. Finally, we have shown that the Goldie dimension of an ideal $I$ in $C(X)$ coincide with the cellularity of $XsetminusDelta (I)$.
Dense separable,cellularity,$sigma$compact,$F$space,Goldie dimension
http://bims.iranjournals.ir/article_588.html
http://bims.iranjournals.ir/article_588_8b401757cc747587b6c015c12346320e.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
The continuity of linear and sublinear correspondences defined on cones
43
55
EN
M.
Aghajani
K.N. Toosi University of Technology
aghajani_m@dena.kntu.ac.ir
K.
Nourouzi
K.N. Toosi University of Technology
nourouzi@kntu.ac.ir
D.
ÓRegan
National University of Ireland
"donal donal.oregan@nuigalway.ie
In this paper, we investigate the continuity of linear and sublinear correspondences defined on cones in normed spaces. We also generalize some known results for sublinear correspondences.
Linear correspondence,sublinear correspondence,cone
http://bims.iranjournals.ir/article_593.html
http://bims.iranjournals.ir/article_593_c6ba89a04e2a91caadf240efa0328257.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
Some properties of a class of polyhedral semigroups based upon the subword reversing method
57
63
EN
M.
Minisker
Mustafa Kemal University Department of Mathematics
melisminisker@hotmail.com
In this paper a certain class of polyhedral semigroups which has a presentation $$ is examined. The completeness of the presentation and solvability of word problem of this class of semigroups is determined. Moreover the combinatorial distance between two words is determined.
Polyhedral semigroup,complete,presentation,subword reversing
http://bims.iranjournals.ir/article_589.html
http://bims.iranjournals.ir/article_589_e3fbd66b4893953e73be77cbbe9ce05c.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
Detection of a nontrivial element in the stable homotopy groups of spheres
65
85
EN
H.
Yu
South China Normal University
yuhb@scnu.edu.cn
Y.
Kou
South China Normal University
kouyanlei@tom.com
H.
Zhao
South China Normal University
zhaohao120@hotmail.com
Let $p$ be a prime with $pgeq 7$ and $q=2(p1)$. In this paper we prove the existence of a nontrivial product of filtration $s+4$ in the stable homotopy groups of spheres. This nontrivial product is shown to be represented up to a nonzero scalar by the product element $widetilde{gamma}_{s}b_{n1}g_{0}in {Ext}_{mathcal{A}}^{s+4,(p^n+sp^2+sp+s)q+s3}(mathbb{Z}/p,mathbb{Z}/p)$ in the Adams spectral sequence where $ngeq 2$ and $3leq sleq p1$.
Stable homotopy groups of sphere,Adams spectral sequence,May spectral sequence
http://bims.iranjournals.ir/article_590.html
http://bims.iranjournals.ir/article_590_85ba0e058a40f200e803319d8a76cec7.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
The inﬂuence of Sembedded subgroups on the structure of ﬁnite groups
87
100
EN
J
Li
Chongqing University of Arts and Sciences, P R China
leejinbao25@163.com
W.
Shi
Chongqing University of Arts and Sciences
shiwujie@gmail.com
D.
Yu
Chongqing University of Arts and Sciences
yudapeng0@sina.com
Let H be a subgroup of a group G. H is said to be Sembedded in G if G has a normal T such that HT is an Spermutable subgroup of G and H ∩ T ≤ H sG, where H denotes the subgroup generated by all those subgroups of H which are Spermutable in G. In this paper, we investigate the inﬂuence of minimal Sembedded subgroups on the structure of ﬁnite groups.
We determine the structure the ﬁnite groups with some minimal Sembedded subgroups. We also give some new characterizations of pnilpotency of ﬁnite groups in terms of Sembedding property. As applications, some previous known results are generalized.
finite groups,Sembedded subgroups,the generalized Fitting subgroups,soluble
groups,pnilpotent groups
http://bims.iranjournals.ir/article_603.html
http://bims.iranjournals.ir/article_603_1e5a0147e3dd5c95ac6a68807f37a3d4.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
On the eigenvalues of normal edgetransitive Cayley graphs
101
107
EN
M.
Ghorbani
Shahid Rajaee Teacher Training University
ghorbani30@gmail.com
A graph $Gamma$ is said to be vertextransitive or edge transitive if the automorphism group of $Gamma$ acts transitively on $V(Gamma)$ or $E(Gamma)$, respectively. Let $Gamma=Cay(G,S)$ be a Cayley graph on $G$ relative to $S$. Then, $Gamma$ is said to be normal edgetransitive, if $N_{Aut(Gamma)}(G)$ acts transitively on edges. In this paper, the eigenvalues of normal edgetransitive Cayley graphs of the groups $D_{2n}$ and $T_{4n}$ are given.
Eigenvalues,Cayley graphs,normal graph
http://bims.iranjournals.ir/article_592.html
http://bims.iranjournals.ir/article_592_ae5f0b2ad69282e3e8f70f5873d4a9cd.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
Strictly KählerBerwald manifolds with constant holomorphic sectional curvature
109
120
EN
X.
Chen
School of Mathematical sciences, Xiamen university
xxchen@xmu.edu.cn
R.
Yan
School of Mathemtical sciences, Xiamen university
yanrm@xmu.edu.cn
In this paper, the authors prove that a strictly KählerBerwald manifold with nonzero constant holomorphic sectional curvature must be a Kähler manifold.
complex Finsler manifold,holomorphic sectional curvature,KaehlerBerwald
manifold
http://bims.iranjournals.ir/article_591.html
http://bims.iranjournals.ir/article_591_b9a0e0046a139b2001f811bdf8f8a8a6.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
Supercyclic tuples of the adjoint weighted composition operators on Hilbert spaces
121
139
EN
Y. X.
Liang
Tianjin Normal University
liangyx1986@126.com
Z. H.
Zhou
Department of Mathematics, Tianjin University
zehuazhoumath@aliyun.com
We give some sufficient conditions under which the tuple of the adjoint of weighted composition operators $(C_{omega_1,varphi_1}^* , C_{omega_2,varphi_2}^*)$ on the Hilbert space $mathcal{H}$ of analytic functions is supercyclic.
Supercyclic,adjoint,weighted composition operators,Hilbert space
http://bims.iranjournals.ir/article_600.html
http://bims.iranjournals.ir/article_600_6d1c998b395dc1565dd2c846c6c74e92.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
Optimal asset control of the diffusion model under consideration of the time value of ruin
141
158
EN
H.
Dai
Guangxi University
mathdsh@gmail.com
C.
Tang
Guangxi University of Finance and Economics
tangcangxin@gmail.com
In this paper, we consider the optimal asset control of a financial company which can control its liquid reserves by paying dividends and by issuing new equity. We assume that the liquid surplus of the company in the absence of control is modeled by the diffusion model. It is a hot topic to maximize the expected present value of dividends payout minus equity issuance until the time of bankruptcy. We study this problem under consideration of the time value of ruin. By constructing two categories of suboptimal models, one with classical model without equity issuance, and the other which never goes bankrupt by equity issuance, the optimal problem is addressed. At the end, some numerical examples and interesting economic interpretations are presented.
Optimal dividend control,optimal financing
control,time value of ruin
http://bims.iranjournals.ir/article_594.html
http://bims.iranjournals.ir/article_594_47a7d6a93e62f77f04be6701ab83e08a.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
The category of monoid actions in Cpo
159
175
EN
M.
Mahmoudi
Professor of Mathematics of Shahid Beheshti University
mmahmoudi@sbu.ac.ir
H.
MoghbeliDamaneh
PhD student at the Department of Mathematics of Shahid Beheshti University
h_moghbeli@sbu.ac.ir
In this paper, some categorical properties of the category ${bf Cpo}_{{bf Act}text{}S}$ of all {cpo $S$acts}, cpo's equipped with actions of a monoid $S$ on them, and strict continuous actionpreserving maps between them is considered. In particular, we describe products and coproducts in this category, and consider monomorphisms and epimorphisms. Also, we show that the forgetful functor from ${bf Cpo}_{{bf Act}text{}S}$ to the category of cpo's has both a left and a right adjoint.
Directed complete partially ordered set,product,coproduct,cartesian closed
http://bims.iranjournals.ir/article_595.html
http://bims.iranjournals.ir/article_595_990da986cde9498bd05410f7b514ebda.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
Almost multiplicative linear functionals and approximate spectrum
177
187
EN
E.
Anjidani
Department of Mathematics, University of Neyshabur
anjidani@neyshabur.ac.ir
We define a new type of spectrum, called δapproximate spectrum, of an element a in a complex unital Banach algebra A and show that the δapproximate spectrum σ_δ (a) of a is compact. The relation between the δapproximate spectrum and the usual spectrum is investigated. Also an analogue of the classical GleasonKahaneZelazko theorem is established: For each ε>0, there is δ>0 such that if ϕ is a linear functional with ϕ(a)∈σ_δ (a) for all a∈A, then ϕ is εalmost multiplicative. Finally, we use these ideas to provide a sufficient condition for a δalmost multiplicative functional to be multiplicative.
almost multiplicative linear functional,Ransford spectrum,pseudospectrum,condition spectrum,GleasonKahaneZelazko theorem
http://bims.iranjournals.ir/article_596.html
http://bims.iranjournals.ir/article_596_bec59d33577ac7d73d2c66407e9eec46.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
On the oriented perfect path double cover conjecture
189
200
EN
B.
Bagheri Gh.
Isfahan University of Technology
b.bagheri@math.iut.ac.ir
B.
Omoomi
bomoomi@yahoo.com
An oriented perfect path double cover (OPPDC) of a graph $G$ is a collection of directed paths in the symmetric orientation $G_s$ of $G$ such that each arc of $G_s$ lies in exactly one of the paths and each vertex of $G$ appears just once as a beginning and just once as an end of a path. Maxov{'a} and Ne{v{s}}et{v{r}}il (Discrete Math. 276 (2004) 287294) conjectured that every graph except two complete graphs $K_3$ and $K_5$ has an OPPDC and they claimed that the minimum degree of the minimal counterexample to this conjecture is at least four. In the proof of their claim, when a graph is smaller than the minimal counterexample, they missed to consider the special cases $K_3$ and $K_5$. In this paper, among some other results, we present the complete proof for this fact. Moreover, we prove that the minimal counterexample to this conjecture is $2$connected and $3$edgeconnected.
Keywords: Oriented perfect,path double cover,Oriented cycle
double cover
http://bims.iranjournals.ir/article_597.html
http://bims.iranjournals.ir/article_597_a931117b555271ee48028056b0d0101b.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
The symmetric twostep Pstable nonlinear predictorcorrector methods for the numerical solution of second order initial value problems
201
215
EN
A.
Shokri
Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran
shokri@maragheh.ac.ir
In this paper, we propose a modification of the second order method introduced in [Q. Li and X. Y. Wu, A twostep explicit $P$stable method for solving second order initial value problems, textit{Appl. Math. Comput.} {138} (2003), no. 23, 435442] for the numerical solution of IVPs for second order ODEs. The numerical results obtained by the new method for some problems show its superiority in efficiency, accuracy and stability.
Hybrid methods,Pstable,offstep points,predictorcorrector
http://bims.iranjournals.ir/article_601.html
http://bims.iranjournals.ir/article_601_887ac07814abac5ed77af1832d56e7c7.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
On graded classical prime and graded prime submodules
217
225
EN
K.
AlZoubi
Jordan University of Science and Technology
kfzoubi@just.edu.jo
M.
Jaradat
Jordan University of Science and Technology, P.O.Box 3030, Irbid, Jordan
majaradat12@sci.just.edu.jo
R.
AbuDawwas
Yarmouk
University, Irbid , Jordan
rrashid@yu.edu.jo
Let $G$ be a group with identity $e.$ Let $R$ be a $G$graded commutative ring and $M$ a graded $R$module. In this paper, we introduce several results concerning graded classical prime submodules. For example, we give a characterization of graded classical prime submodules. Also, the relations between graded classical prime and graded prime submodules of $M$ are studied.
Graded submodules,graded prime submodule,graded classical prime submodule
http://bims.iranjournals.ir/article_598.html
http://bims.iranjournals.ir/article_598_4dd3ba6468b930d4ee8608ff457e8457.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
Bounded approximate connesamenability of dual Banach algebras
227
238
EN
A.
Mahmoodi
Islamic Azad University, Central Tehran Branch
a_mahmoodi@iauctb.ac.ir
We study the notion of bounded approximate Connesamenability for dual Banach algebras and characterize this type of algebras in terms of approximate diagonals. We show that bounded approximate Connesamenability of dual Banach algebras forces them to be unital. For a separable dual Banach algebra, we prove that bounded approximate Connesamenability implies sequential approximate Connesamenability.
Bounded approximate Connesamenability,sequential approximate Connesamenability,multiplierbounded approximate identity
http://bims.iranjournals.ir/article_599.html
http://bims.iranjournals.ir/article_599_13d35cba7517469d79fb3466b2a1511d.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
$LG$topology
239
258
EN
A.
R. Aliabad
Chamran University, Ahvaz,
aliabady_r@scu.ac.ir
A.
Sheykhmiri
Shahid Chamran University of Ahvaz
sheykhmiri.alireza@gmail.com
In this paper, we introduce a new model of point free topology for pointset topology. We study the basic concepts in this structure and will find that it is naturally close to pointset topology.
frame,$LGT$space,open element,compact element,separation axioms
http://bims.iranjournals.ir/article_604.html
http://bims.iranjournals.ir/article_604_4e088485fa8366a329cfd854b0a5001d.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
Weighted composition operators on measurable differential form spaces
259
267
EN
M. R.
Jabbarzadeh
faculty of mathematical sciences, university of tabriz
mrjabbar11@yahoo.com
F.
Talebi
Tabriz University (Ph. D student)
talebi@tabrizu.ac.ir
In this paper, we consider weighted composition operators betweenmeasurable differential forms and then some classic properties of these operators are characterized.
Riemann surfaces,differential forms,(weighted)
composition operators,adjoint operator
http://bims.iranjournals.ir/article_605.html
http://bims.iranjournals.ir/article_605_532b70f6a67cbcb1e36afb525cf3e202.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
Multiple solutions for a perturbed Navier boundary value problem involving the $p$biharmonic
269
280
EN
L.
Ding
Hubei University of Arts and Science
kyant@sina.com
The aim of this article is to establish the existence of at least three solutions for a perturbed $p$biharmonic equation depending on two real parameters. The approach is based on variational methods.
three solutions,Three critical points theorem,$p$biharmonic equations,Critical point theory
http://bims.iranjournals.ir/article_606.html
http://bims.iranjournals.ir/article_606_eab15c0fadca6127377284f5fa080088.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017060X
17358515
41
1
2015
02
01
On meromorphic solutions of certain type of difference equations
281
289
EN
X.
Qi
University of Jinan, School of Mathematics
xiaogqi@mail.sdu.edu.cn
Y.
Liu
Department of Mathematics, University of Jinan
xiaoqi@gmail.com
L.
Yang
Department of
Mathematics,Shandong University
44922143@qq.com
We mainly discuss the existence of meromorphic (entire) solutions of certain type of nonlinear difference equation of the form: $f(z)^m+P(z)f(z+c)^n=Q(z)$, which is a supplement of previous results in [K. Liu, L. Z. Yang and X. L. Liu, Existence of entire solutions of nonlinear difference equations, Czechoslovak Math. J. 61 (2011), no. 2, 565576, and X. G. Qi, Value distribution and uniqueness of difference polynomials and entire solutions of difference equations, Ann. Polon. Math.
Difference equation,
Meromorphic functions,order
http://bims.iranjournals.ir/article_607.html
http://bims.iranjournals.ir/article_607_13646b482767ce8701ff3d6ab7c2b254.pdf