Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201Equivalent a posteriori error estimates for spectral element solutions of constrained optimal control problem in one dimension118735ENX. YeSchool of Science, Jimei University, 361021 Xiamen, China.Journal Article20140505In 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201Some connections between powers of conjugacy classes and degrees of irreducible characters in solvable groups1925736ENS. M. RobatiDepartment of
Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, IranJournal Article20140515Let $G$ 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. Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201Characterization of some projective special linear groups in dimension four by their orders and degree patterns2736737ENM. SajjadiDepartment of Mathematics, Payame Noor University,
Iran.M. BibakDepartment of Mathematics, Payame Noor University,
Iran.G. R. RezaeezadehDepartment
of Mathematics, University
of Shahrekord, Shahrekord, Iran.Journal Article20140405Let $G$ 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 $1leq ileq k$, 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 $nin{5, 6, 7}$ and we prove that $Gcong L_{4}(2^{n})$.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201On Tychonoff's type theorem via grills3741738ENA. TalabeigiDepartment of Mathematics, Payam Noor University, Tehran, Iran.Journal Article20140520Let ${X_{alpha}:alphainLambda}$ 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201On the decomposition of noncosingular $sum$-lifting modules4348739ENT. AmouzegarDepartment of
Mathematics, Quchan University of Advanced Technology, Quchan, Iran.Journal Article20121025Let $R$ be a right artinian ring or a perfect commutative<br />ring. Let $M$ be a noncosingular self-generator $sum$-lifting<br />module. Then $M$ has a direct decomposition $M=oplus_{iin I} M_i$,<br />where each $M_i$ is noetherian quasi-projective and each<br />endomorphism ring $End(M_i)$ is local.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201Erratum: Coupled fixed point results for weakly related mappings in partially ordered metric spaces4952740ENM. JainDepartment of Mathematics, Ahir College, Rewari 123401, India.N. GuptaHAS Department, YMCAUST, Faridabad, India.S. KumarDepartment of Mathematics, DCRUST, Murthal, Sonepat, India.Journal Article20140709In 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”.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201The reverse order law for Moore-Penrose inverses of operators on Hilbert C*-modules5360741ENK. SharifiDepartment of Mathematics, Shahrood University of Technology, and, Mathematisches Institut, Fachbereich Mathematik und Informatik der Universitat Munster, Einsteinstrasse 62, 48149 Munster, Germany.Behnaz A. BonakdarDepartment of Mathematics, International Campus of Ferdowsi University, Mashhad, Iran.Journal Article20120816Suppose $T$ and $S$ are Moore-Penrose invertible operators between<br />Hilbert C*-module. Some necessary and sufficient conditions are given for the<br />reverse order law $(TS)^{ dag} =S^{ dag} T^{ dag}$ to hold.<br />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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201Frames in right ideals of $C^*$-algebras6167742ENM. B. AsadiSchool 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.Journal Article20140619we investigate the problem of the existence of a frame for<br />right ideals of a C*-algebra A, without the use of the Kasparov stabilization<br />theorem. We show that this property can not characterize A as a C*-algebra<br />of compact operators.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201Linear operators of Banach spaces with range in Lipschitz algebras6978743ENH. MahyarDepartment of Mathematics, Faculty of Mathematical Sciences and
Computer, Kharazmi University, 50, Taleghani Ave., 15618, Tehran, Iran.A. GolbaharanDepartment of Mathematics, Faculty of Mathematical Sciences and
Computer, Kharazmi University, 50, Taleghani Ave., 15618, Tehran, Iran.Journal Article20140410In this paper, a complete description concerning linear operators <br />of Banach spaces with range in Lipschitz algebras $lip_al(X)$ is <br />provided. Necessary and sufficient conditions are established to <br />ensure boundedness and (weak) compactness of these operators. <br />Finally, a lower bound for the essential norm of such operators is <br />obtained.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201The Jacobsthal Sequences in Finite Groups7989744ENÖ DeveciDepartment of Mathematics, Faculty of Science
and Letters, Kafkas University, 36100 Kars, Turkey.E. KaradumanDepartment of Mathematics, Faculty of Science, Ataturk University, 25240 Erzurum, Turkey.G. SağlamDepartment of Mathematics, Faculty of Science
and Letters, Kafkas University, 36100 Kars, Turkey.Journal Article20120624Abstract 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 .Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201A generalization of $oplus$-cofinitely supplemented modules9199745ENB. KoşarOndokuz Mayis University, Samsun, Turkey.B. N. TürkmenAmasya University, Faculty of Art and Science, Ipekkoy, Amasya, Turkey.Journal Article20140426We 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201Amenability of groups and semigroups characterized by configuration101112746ENA. TavakoliDepartment of Mathematics, Meymeh Branch, Islamic Azad
University, Meymeh, Iran.A. RejaliDepartment of Mathematics, University of Isfahan, Isfahan, Iran.Journal Article20140208In 2005, A. Abdollahi and A. Rejali, studied the relations between<br />paradoxical decomposition and configuration for semigroups. In the<br />present paper, we introduce one other concept of amenability type<br />on semigroups and groups which includes amenability of semigroups<br />and inner-amenability of groups. We have extend the previous known<br />results to semigroups and groups satisfying this concept.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201Rings for which every simple module is almost injective113127747ENSh. AsgariDepartment of Mathematical Sciences, University of Isfahan, Isfahan, Iran, and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran.M. Arabi-KakavandDepartment of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran.H. KhabazianDepartment of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran.0000-0003-2091-6940Journal Article20140817We introduce the class of “right almost V-rings” which is properly between the <br />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 <br />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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201On nonlocal elliptic system of $p$-Kirchhoff-type in $mathbb{R}^N$129141748ENL. LiuCollege of Sciences, Hohai University,
Nanjing 210098, P.R. of China.C. ChenCollege of Sciences, Hohai University,
Nanjing 210098, P.R. of China.Journal Article20140224Using 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201Weak log-majorization inequalities of singular values between normal matrices and their absolute values143153749END. ChenSchool of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, P.R. China.Y. ZhangSchool of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, P.R. China.Journal Article20140418This 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201Positive solution for Dirichlet $p(t)$-Laplacian BVPs155173750ENA. BenmezaiFaculty of Mathematics, USTHB, Algiers, Algeria.S. MechroukFaculty of Sciences, UMB, Boumerdes, Algeria.Journal Article20140415In this paper we provide existence results for positive solution to Dirichlet p(t)-Laplacian boundary value problems. The sublinear and superlinear cases are considerd.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201Continuous dependence on coefficients for stochastic evolution equations with multiplicative Levy Noise and monotone nonlinearity175194751ENE. SalavatiDepartment of
Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-11155, Tehran, Iran.B. ZangenehDepartment of
Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-11155, Tehran, Iran.Journal Article20140607Semilinear 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201A note on lacunary series in $mathcal{Q}_K$ spaces195200752ENJ. ZhouSchool of Sciences,
Anhui University of Science and Technology,
Huainan, Anhui 232001, China.Journal Article20140927In 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.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201Flag-transitive Point-primitive symmetric designs and three dimensional projective special linear groups201221753ENS. H. AlaviDepartment 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.M. BayatDepartment of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan Iran.Journal Article20141106The 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).Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42120160201Cohen-Macaulay-ness in codimension for simplicial complexes and expansion functor223232754ENR. Rahmati-AsgharDepartment 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.Journal Article20140930In 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 prove<br />that it can be obtained from a Buchsbaum complex.