Bulletin of the Iranian Mathematical Society
text
article
2016
eng
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
http://bims.iranjournals.ir/article_734_188d7c020645c10b86eb8c134817cd73.pdf
Equivalent a posteriori error estimates for spectral element solutions of constrained optimal control problem in one dimension
X.
Ye
School of Science, Jimei University, 361021 Xiamen, China.
author
text
article
2016
eng
In this paper, we study spectral element approximation for a constrained optimal control problem in one dimension. The equivalent a posteriori error estimators are derived for the control, the state and the adjoint state approximation. Such estimators can be used to construct adaptive spectral elements for the control problems.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
1
18
http://bims.iranjournals.ir/article_735_3c1cd7914de8e0efa56d935980c888bd.pdf
Some connections between powers of conjugacy classes and degrees of irreducible characters in solvable groups
S.
M. Robati
Department of
Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran
author
text
article
2016
eng
Let $G$ be a finite group. We say that the derived covering number of $G$ is finite if and only if there exists a positive integer $n$ such that $C^n=G'$ for all non-central conjugacy classes $C$ of $G$. In this paper we characterize solvable groups $G$ in which the derived covering number is finite.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
19
25
http://bims.iranjournals.ir/article_736_999796ffb7ce72b2bbb8df19ad85d1d5.pdf
Characterization of some projective special linear groups in dimension four by their orders and degree patterns
M.
Sajjadi
Department of Mathematics, Payame Noor University,
Iran.
author
M.
Bibak
Department of Mathematics, Payame Noor University,
Iran.
author
G. R.
Rezaeezadeh
Department
of Mathematics, University
of Shahrekord, Shahrekord, Iran.
author
text
article
2016
eng
Let $G$ be a finite group. The degree pattern of $G$ denoted by $D(G)$ is defined as follows: If $\pi(G)=\{p_{1},p_{2},...,p_{k}\}$ such that $p_{1}<p_{2}<...<p_{k}$, then $D(G):=(deg(p_{1}),deg(p_{2}),...,deg(p_{k}))$, where $deg(p_{i})$ for $1\leq i\leq k$, are the degree of vertices $p_{i}$ in the prime graph of $G$. In this article, we consider a finite group $G$ under assumptions $|G|=|L_{4}(2^{n})|$ and $D(G)=D(L_{4}(2^{n}))$, where $n\in\{5, 6, 7\}$ and we prove that $G\cong L_{4}(2^{n})$.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
27
36
http://bims.iranjournals.ir/article_737_ebaed8840b0e941f657b4732ce406533.pdf
On Tychonoff's type theorem via grills
A.
Talabeigi
Department of Mathematics, Payam Noor University, Tehran, Iran.
author
text
article
2016
eng
Let $\{X_{\alpha}:\alpha\in\Lambda\}$ be a collection of topological spaces, and $\mathcal {G}_{\alpha}$ be a grill on $X_{\alpha}$ for each $\alpha\in\Lambda$. We consider Tychonoff\rq{}s type Theorem for $X=\prod_{\alpha\in\Lambda}X_{\alpha}$ via the above grills and a natural grill on $X$ related to these grills, and present a simple proof to this theorem. This immediately yields the classical theorem of Tychonoff. We shall also observe> that the above result is also equivalent to the Axiom of Choice.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
37
41
http://bims.iranjournals.ir/article_738_3e4f14cd54c0259750fb23e3c2edef57.pdf
On the decomposition of noncosingular $\sum$-lifting modules
T.
Amouzegar
Department of
Mathematics, Quchan University of Advanced Technology, Quchan, Iran.
author
text
article
2016
eng
Let $R$ be a right artinian ring or a perfect commutativering. Let $M$ be a noncosingular self-generator $\sum$-liftingmodule. Then $M$ has a direct decomposition $M=\oplus_{i\in I} M_i$,where each $M_i$ is noetherian quasi-projective and eachendomorphism ring $End(M_i)$ is local.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
43
48
http://bims.iranjournals.ir/article_739_f8dc40182471ca0430235dae48b498b5.pdf
Erratum: Coupled fixed point results for weakly related mappings in partially ordered metric spaces
M.
Jain
Department of Mathematics, Ahir College, Rewari 123401, India.
author
N.
Gupta
HAS Department, YMCAUST, Faridabad, India.
author
S.
Kumar
Department of Mathematics, DCRUST, Murthal, Sonepat, India.
author
text
article
2016
eng
In this note we point out and rectify some errors in a recently published paper “N. Singh, R. Jain: Coupled Fixed Point Results For Weakly Related Mappings In Partially Ordered Metric Spaces, Bull. Iranian Math. Soc. 40 (2014), no. 1, 29-40”.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
49
52
http://bims.iranjournals.ir/article_740_cc5b4750b26b294f8b41652842a7f8f0.pdf
The reverse order law for Moore-Penrose inverses of operators on Hilbert C*-modules
K.
Sharifi
Department of Mathematics, Shahrood University of Technology, and, Mathematisches Institut, Fachbereich Mathematik und Informatik der Universitat Munster, Einsteinstrasse 62, 48149 Munster, Germany.
author
Behnaz
A. Bonakdar
Department of Mathematics, International Campus of Ferdowsi University, Mashhad, Iran.
author
text
article
2016
eng
Suppose $T$ and $S$ are Moore-Penrose invertible operators betweenHilbert C*-module. Some necessary and sufficient conditions are given for thereverse order law $(TS)^{ dag} =S^{ dag} T^{ dag}$ to hold.In particular, we show that the equality holds if and only if $Ran(T^{*}TS) subseteq Ran(S)$ and $Ran(SS^{*}T^{*}) subseteq Ran(T^{*}),$ which was studied first by Greville [{it SIAM Rev. 8 (1966) 518--521}] for matrices.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
53
60
http://bims.iranjournals.ir/article_741_e95e4eb2557dba2d2bb48b970aa22608.pdf
Frames in right ideals of $C^*$-algebras
M. B.
Asadi
School of Mathematics, Statistics and Computer Science,
College of Science, University of Tehran, Tehran,
Iran, and, School of Mathematics, Institute for Research in Fundamental Sciences (IPM),
Tehran 19395-5746, Iran.
author
text
article
2016
eng
we investigate the problem of the existence of a frame forright ideals of a C*-algebra A, without the use of the Kasparov stabilizationtheorem. We show that this property can not characterize A as a C*-algebraof compact operators.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
61
67
http://bims.iranjournals.ir/article_742_ab03fec752c1ab4b058d904db7a05e0c.pdf
Linear operators of Banach spaces with range in Lipschitz algebras
H.
Mahyar
Department of Mathematics, Faculty of Mathematical Sciences and
Computer, Kharazmi University, 50, Taleghani Ave., 15618, Tehran, Iran.
author
A.
Golbaharan
Department of Mathematics, Faculty of Mathematical Sciences and
Computer, Kharazmi University, 50, Taleghani Ave., 15618, Tehran, Iran.
author
text
article
2016
eng
In this paper, a complete description concerning linear operators of Banach spaces with range in Lipschitz algebras $lip_al(X)$ is provided. Necessary and sufficient conditions are established to ensure boundedness and (weak) compactness of these operators. Finally, a lower bound for the essential norm of such operators is obtained.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
69
78
http://bims.iranjournals.ir/article_743_7ea3f9eb8a11bfb80e20403cbc7b8059.pdf
The Jacobsthal Sequences in Finite Groups
Ö
Deveci
Department of Mathematics, Faculty of Science
and Letters, Kafkas University, 36100 Kars, Turkey.
author
E.
Karaduman
Department of Mathematics, Faculty of Science, Ataturk University, 25240 Erzurum, Turkey.
author
G.
Sağlam
Department of Mathematics, Faculty of Science
and Letters, Kafkas University, 36100 Kars, Turkey.
author
text
article
2016
eng
Abstract In this paper, we study the generalized order- Jacobsthal sequences modulo for and the generalized order-k Jacobsthal-Padovan sequence modulo for . Also, we define the generalized order-k Jacobsthal orbit of a k-generator group for and the generalized order-k Jacobsthal-Padovan orbit a k-generator group for . Furthermore, we obtain the lengths of the periods of the generalized order-3 Jacobsthal orbit and the generalized order-3 Jacobsthal-Padovan orbit of the direct product, and the semidirect product .
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
79
89
http://bims.iranjournals.ir/article_744_33e914fb41019a7e565801a58b86c54f.pdf
A generalization of $\oplus$-cofinitely supplemented modules
B.
Koşar
Ondokuz Mayis University, Samsun, Turkey.
author
B. N.
Türkmen
Amasya University, Faculty of Art and Science, Ipekkoy, Amasya, Turkey.
author
text
article
2016
eng
We say that a module $M$ is a \emph{cms-module} if, for every cofinite submodule $N$ of $M$, there exist submodules $K$ and $K^{'}$ of $M$ such that $K$ is a supplement of $N$, and $K$, $K^{'}$ are mutual supplements in $M$. In this article, the various properties of cms-modules are given as a generalization of $\oplus$-cofinitely supplemented modules. In particular, we prove that a $\pi$-projective module $M$ is a cms-module if and only if $M$ is $\oplus$-cofinitely supplemented. Finally, we show that every free $R$-module is a cms-module if and only if $R$ is semiperfect.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
91
99
http://bims.iranjournals.ir/article_745_d8b729737f9767dc7c543425fb5c193a.pdf
Amenability of groups and semigroups characterized by configuration
A.
Tavakoli
Department of Mathematics, Meymeh Branch, Islamic Azad
University, Meymeh, Iran.
author
A.
Rejali
Department of Mathematics, University of Isfahan, Isfahan, Iran.
author
text
article
2016
eng
In 2005, A. Abdollahi and A. Rejali, studied the relations betweenparadoxical decomposition and configuration for semigroups. In thepresent paper, we introduce one other concept of amenability typeon semigroups and groups which includes amenability of semigroupsand inner-amenability of groups. We have extend the previous knownresults to semigroups and groups satisfying this concept.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
101
112
http://bims.iranjournals.ir/article_746_ebcffea773154014180f6d29841d2f15.pdf
Rings for which every simple module is almost injective
Sh.
Asgari
Department of Mathematical Sciences, University of Isfahan, Isfahan, Iran, and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran.
author
M.
Arabi-Kakavand
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran.
author
H.
Khabazian
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran.
author
text
article
2016
eng
We introduce the class of “right almost V-rings” which is properly between the classes of right V-rings and right good rings. A ring R is called a right almost V-ring if every simple R-module is almost injective. It is proved that R is a right almost V-ring if and only if for every R-module M, any complement of every simple submodule of M is a direct summand. Moreover, R is a right almost V-ring if and only if for every simple R-module S, either S is injective or the injective hull of S is projective of length 2. Right Artinian right almost V-rings and right Noetherian right almost V-rings are characterized. A 2×2 upper triangular matrix ring over R is a right almost V-ring precisely when R is semisimple.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
113
127
http://bims.iranjournals.ir/article_747_f6b734ed6ae927135539c5e60f93a8b0.pdf
On nonlocal elliptic system of $p$-Kirchhoff-type in $\mathbb{R}^N$
L.
Liu
College of Sciences, Hohai University,
Nanjing 210098, P.R. of China.
author
C.
Chen
College of Sciences, Hohai University,
Nanjing 210098, P.R. of China.
author
text
article
2016
eng
Using Nehari manifold methods and Mountain pass theorem, the existence of nontrivial and radially symmetric solutions for a class of $p$-Kirchhoff-type system are established.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
129
141
http://bims.iranjournals.ir/article_748_10107cdd20545ce35af0d64255245a8e.pdf
Weak log-majorization inequalities of singular values between normal matrices and their absolute values
D.
Chen
School of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, P.R. China.
author
Y.
Zhang
School of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, P.R. China.
author
text
article
2016
eng
This paper presents two main results that the singular values of the Hadamard product of normal matrices $A_i$ are weakly log-majorized by the singular values of the Hadamard product of $|A_{i}|$ and the singular values of the sum of normal matrices $A_i$ are weakly log-majorized by the singular values of the sum of $|A_{i}|$. Some applications to these inequalities are also given. In addition, several related and new inequalities are obtained.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
143
153
http://bims.iranjournals.ir/article_749_d0230ea9feb008375e5aaf7d3bcab2d4.pdf
Positive solution for Dirichlet $p(t)$-Laplacian BVPs
A.
Benmezai
Faculty of Mathematics, USTHB, Algiers, Algeria.
author
S.
Mechrouk
Faculty of Sciences, UMB, Boumerdes, Algeria.
author
text
article
2016
eng
In this paper we provide existence results for positive solution to Dirichlet p(t)-Laplacian boundary value problems. The sublinear and superlinear cases are considerd.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
155
173
http://bims.iranjournals.ir/article_750_56e9d935933da15432e45548ed1eec62.pdf
Continuous dependence on coefficients for stochastic evolution equations with multiplicative Levy Noise and monotone nonlinearity
E.
Salavati
Department of
Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-11155, Tehran, Iran.
author
B.
Zangeneh
Department of
Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-11155, Tehran, Iran.
author
text
article
2016
eng
Semilinear stochastic evolution equations with multiplicative L'evy noise are considered. The drift term is assumed to be monotone nonlinear and with linear growth. Unlike other similar works, we do not impose coercivity conditions on coefficients. We establish the continuous dependence of the mild solution with respect to initial conditions and also on coefficients. As corollaries of the continuity result, we derive sufficient conditions for asymptotic stability of the solutions, we show that Yosida approximations converge to the solution and we prove that solutions have Markov property. Examples on stochastic partial differential equations and stochastic delay differential equations are provided to demonstrate the theory developed. The main tool in our study is an inequality which gives a pathwise bound for the norm of stochastic convolution integrals.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
175
194
http://bims.iranjournals.ir/article_751_180a88e9aeb9128f8fb07944be871064.pdf
A note on lacunary series in $\mathcal{Q}_K$ spaces
J.
Zhou
School of Sciences,
Anhui University of Science and Technology,
Huainan, Anhui 232001, China.
author
text
article
2016
eng
In this paper, under the condition that $K$ is concave, we characterize lacunary series in $Q_{k}$ spaces. We improve a result due to H. Wulan and K. Zhu.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
195
200
http://bims.iranjournals.ir/article_752_52881e45a7d201597fcb7a127a098fb6.pdf
Flag-transitive Point-primitive symmetric designs and three dimensional projective special linear groups
S. H.
Alavi
Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran \newline and \newline School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran.
author
M.
Bayat
Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan Iran.
author
text
article
2016
eng
The main aim of this article is to study (v,k,λ)-symmetric designs admitting a flag-transitive and point-primitive automorphism group G whose socle is PSL(3,q). We indeed show that the only possible design satisfying these conditions is a Desarguesian projective plane PG(2,q) and G > PSL(3,q).
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
201
221
http://bims.iranjournals.ir/article_753_b2de259655ef54a3651712cda10b8080.pdf
Cohen-Macaulay-ness in codimension for simplicial complexes and expansion functor
R.
Rahmati-Asghar
Department of Mathematics, Faculty of Basic Sciences, University of Maragheh,
P.O. Box 55181-83111, Maragheh, Iran, and, School of Mathematics, Institute for
Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran.
author
text
article
2016
eng
In this paper we show that expansion of a Buchsbaum simplicial complex is $CM_t$, for an optimal integer $tgeq 1$. Also, by imposing extra assumptions on a $CM_t$ simplicial complex, we provethat it can be obtained from a Buchsbaum complex.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
1
no.
2016
223
232
http://bims.iranjournals.ir/article_754_f1ba86ab4801badb13ab9660bbc73192.pdf