2018-11-15T23:21:33Z
http://bims.iranjournals.ir/?_action=export&rf=summon&issue=81
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
Bulletin of the Iranian Mathematical Society
2016
02
01
http://bims.iranjournals.ir/article_734_188d7c020645c10b86eb8c134817cd73.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
Equivalent a posteriori error estimates for spectral element solutions of constrained optimal control problem in one dimension
X.
Ye
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.
Optimal control problem
spectral element method
a posteriori error estimates
control constraint
polynomial inverse estimates
2016
02
01
1
18
http://bims.iranjournals.ir/article_735_3c1cd7914de8e0efa56d935980c888bd.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
Some connections between powers of conjugacy classes and degrees of irreducible characters in solvable groups
S.
M. Robati
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.
Conjugacy classes
irreducible characters
solvable groups
2016
02
01
19
25
http://bims.iranjournals.ir/article_736_999796ffb7ce72b2bbb8df19ad85d1d5.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
Characterization of some projective special linear groups in dimension four by their orders and degree patterns
M.
Sajjadi
M.
Bibak
G. R.
Rezaeezadeh
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}
Degree pattern
prime graph
projective special linear group
2016
02
01
27
36
http://bims.iranjournals.ir/article_737_ebaed8840b0e941f657b4732ce406533.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
On Tychonoff's type theorem via grills
A.
Talabeigi
Let ${X_{alpha}:alphainLambda}$ be a collection of topological spaces, and $mathcal {G}_{alpha}$ be a grill on $X_{alpha}$ for each $alphainLambda$. We consider Tychonoffrq{}s type Theorem for $X=prod_{alphainLambda}X_{alpha}$ 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.
Tychonoff's theorem
grills
Axiom of Choice
2016
02
01
37
41
http://bims.iranjournals.ir/article_738_3e4f14cd54c0259750fb23e3c2edef57.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
On the decomposition of noncosingular $sum$-lifting modules
T.
Amouzegar
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 $M=oplus_{iin I} M_i$,where each $M_i$ is noetherian quasi-projective and eachendomorphism ring $End(M_i)$ is local.
Noncosingular module
lifting module
$sum$-lifting module
2016
02
01
43
48
http://bims.iranjournals.ir/article_739_f8dc40182471ca0430235dae48b498b5.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
Erratum: Coupled fixed point results for weakly related mappings in partially ordered metric spaces
M.
Jain
N.
Gupta
S.
Kumar
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”.
Coupled fixed point
common coupled fixed point
partially ordered space
weakly related mappings
2016
02
01
49
52
http://bims.iranjournals.ir/article_740_cc5b4750b26b294f8b41652842a7f8f0.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
The reverse order law for Moore-Penrose inverses of operators on Hilbert C*-modules
K.
Sharifi
Behnaz
A. Bonakdar
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.
Bounded adjointable operator
Hilbert C*-module
generalized inverse
reverse order law
2016
02
01
53
60
http://bims.iranjournals.ir/article_741_e95e4eb2557dba2d2bb48b970aa22608.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
Frames in right ideals of $C^*$-algebras
M. B.
Asadi
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.
Hilbert C*-modules
frames
C*-algebras
2016
02
01
61
67
http://bims.iranjournals.ir/article_742_ab03fec752c1ab4b058d904db7a05e0c.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
Linear operators of Banach spaces with range in Lipschitz algebras
H.
Mahyar
A.
Golbaharan
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.
Lipschitz algebra
compact linear operator
weakly compact linear operator
essential norm
2016
02
01
69
78
http://bims.iranjournals.ir/article_743_7ea3f9eb8a11bfb80e20403cbc7b8059.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
The Jacobsthal Sequences in Finite Groups
Ö
Deveci
E.
Karaduman
G.
Sağlam
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 .
Length
Jacobsthal sequence
finite group
2016
02
01
79
89
http://bims.iranjournals.ir/article_744_33e914fb41019a7e565801a58b86c54f.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
A generalization of $oplus$-cofinitely supplemented modules
B.
Koşar
B. N.
Türkmen
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.
Supplements
cofinite submodule
($oplus$-)cofinitely supplemented module
2016
02
01
91
99
http://bims.iranjournals.ir/article_745_d8b729737f9767dc7c543425fb5c193a.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
Amenability of groups and semigroups characterized by configuration
A.
Tavakoli
A.
Rejali
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.
Amenability
configuration
paradoxical decomposition
semigroup
2016
02
01
101
112
http://bims.iranjournals.ir/article_746_ebcffea773154014180f6d29841d2f15.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
Rings for which every simple module is almost injective
Sh.
Asgari
M.
Arabi-Kakavand
H.
Khabazian
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.
Almost injective modules
$V$-rings
almost $V$-rings
2016
02
01
113
127
http://bims.iranjournals.ir/article_747_f6b734ed6ae927135539c5e60f93a8b0.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
On nonlocal elliptic system of $p$-Kirchhoff-type in $mathbb{R}^N$
L.
Liu
C.
Chen
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.
$p$-Kirchhoff-type elliptic system
Nehari manifold
mountain pass theorem
2016
02
01
129
141
http://bims.iranjournals.ir/article_748_10107cdd20545ce35af0d64255245a8e.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
Weak log-majorization inequalities of singular values between normal matrices and their absolute values
D.
Chen
Y.
Zhang
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.
Unitarily invariant norms
singular values
weak log-majoriz-ation
normal matrices
Hadamard product
2016
02
01
143
153
http://bims.iranjournals.ir/article_749_d0230ea9feb008375e5aaf7d3bcab2d4.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
Positive solution for Dirichlet $p(t)$-Laplacian BVPs
A.
Benmezai
S.
Mechrouk
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.
P(t)-Laplacian
Positive solutions, Fixed point index theory
2016
02
01
155
173
http://bims.iranjournals.ir/article_750_56e9d935933da15432e45548ed1eec62.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
Continuous dependence on coefficients for stochastic evolution equations with multiplicative Levy Noise and monotone nonlinearity
E.
Salavati
B.
Zangeneh
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.
Stochasic evolution equations
monotone nonlinearity
stochastic convolution integrals
L'evy processes
2016
02
01
175
194
http://bims.iranjournals.ir/article_751_180a88e9aeb9128f8fb07944be871064.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
A note on lacunary series in $mathcal{Q}_K$ spaces
J.
Zhou
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.
$mathcal{Q}_K$ spaces
lacunary series
concave
2016
02
01
195
200
http://bims.iranjournals.ir/article_752_52881e45a7d201597fcb7a127a098fb6.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
Flag-transitive Point-primitive symmetric designs and three dimensional projective special linear groups
S. H.
Alavi
M.
Bayat
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).
automorphism group
point-primitive
flag-transitive
Symmetric design
2016
02
01
201
221
http://bims.iranjournals.ir/article_753_b2de259655ef54a3651712cda10b8080.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2016
42
1
Cohen-Macaulay-ness in codimension for simplicial complexes and expansion functor
R.
Rahmati-Asghar
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.
$CM_t$ simplicial complex
expansion functor
simple graph
2016
02
01
223
232
http://bims.iranjournals.ir/article_754_f1ba86ab4801badb13ab9660bbc73192.pdf