Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701Hyers-Ulam-Rassias stability of a composite
functional equation in various normed spaces383403418ENH. Azadi KenaryYasouj UniversityJournal Article20110724In this paper, we prove the generalized Hyers-Ulam(or Hyers-Ulam-Rassias ) stability of the following composite functional equation <br /> <br />f(f(x)-f(y))=f(x+y)+f(x-y)-f(x)-f(y) <br /> <br /> in various normed spaces.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701A note on superspecial and maximal curves405413419ENA. KazemifardShahrekord UniversityA. R.NaghipourShahrekord UniversityS. TafazolianInstitute for Advanced Studies in Basic SciencesJournal Article20111008In this note we review a simple criterion, due to Ekedahl, for superspecial curves defined over finite fields.<br />Using this we generalize and give some simple proofs for some well-known superspecial curves.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701Contact CR-Warped product submanifolds in Kenmotsu space forms415429420ENM. AtcekenGaziosmanpasa University, Faculty of Arts and Sciences, Department of Mathematics, 60250 Tokat/TURKEYJournal Article20111229Abstract: <br />In the present paper, we give a necessary and sufficient condition <br />for contact CR-warped product to be contact CR-product in Kenmotsu <br />space forms.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701On the convergence of three-step random iterative procesess with errors
of nonself asymptotically nonexpansive random
mappings431453421ENR. A.RashwanDepartment of Mathematics, University of Assiut, P.O.Box 71516, Assiut, EgyptD. Al-BaqeriDepartment of
Mathematics, University
of Assiut, P.O.Box 71516, Assiut, EgyptJournal Article20120111begin{abstract} In this paper, we prove some strong and weak convergence <br />of three step random iterative scheme with errors to common random fixed points of three asymptotically <br />nonexpansive nonself random mappings in a real uniformly convex separable Banach space. <br />end{abstract}Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701Localization operators on homogeneous spaces455467422ENR. Kamyabi GolFerdowsi University of MashhadF. EsmaeelzadehFerdowsi University of MashhadR. Raisi TousiFerdowsi University of MashhadJournal Article20110814Let $G$ be a locally compact group, $H$ be a compact subgroup of $G$ and $varpi$ be a representation of the homogeneous space $G/H$ on a Hilbert space $mathcal H$. For $psi in L^p(G/H), 1leq p leqinfty$, and an admissible wavelet $zeta$ for $varpi$, we define the localization operator $L_{psi,zeta} $ on $mathcal H$ and we show that it is a bounded operator. Moreover, we prove that the localization operator is in Schatten $p$-class and also it is a compact operator for $ 1leq p leqinfty$.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701On pairwise weakly Lindelof bitopological spaces469485423ENA. KilicmanUniversity Putra MalaysiaZ. SallehUniversity Malaysia TerengganuJournal Article20110131In the present paper we introduce and study the notion of pairwise weakly Lindelof <br />bitopological spaces and obtain some results. Further, we also <br />study the pairwise weakly Lindelof subspaces and subsets, and <br />investigate some of their properties. It was proved that a <br />pairwise weakly Lindelof property is not a hereditary <br />property.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701On nilpotent and solvable polygroups487499424ENH. AghabozorgiDepartment of Mathematics, Yazd University, Yazd, IranM. JafarpourDepartment of Mathematics, Vali-e-Asr University, Rafsanjan, IranB. DavvazYazd UniversityJournal Article20111002Applications of hypergroups have mainly appeared in special subclasses. One of the important subclasses is the class of polygroups. <br /> In this paper, we study the notions of nilpotent and solvable polygroups by using the notion of heart of polygroups. In particular, we give <br /> a necessary and sufficient condition between nilpotent (solvable) polygroups and fundamental groups.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701Maximum sum element orders of all proper subgroups of
PGL(2, q)501505425ENS. M.Jafarian AmriZanjan UniversityJournal Article20110922In this paper we show that if q is a power of a prime <br />p , then the projective special linear group PSL(2, q) and the stabilizer <br />of a point of the projective line have maximum sum element <br />orders among all proper subgroups of projective general linear <br />group PGL(2, q) for q odd and even respectivelyIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701phi-Amenable and phi-biflat Banach algebras507515426ENZ. GhorbaniDepertment of Mathematics-University of IsfahanM. Lashkarizadeh BamiDepartment of Mathematics, University of IsfahanJournal Article20110418In this paper we study the concept of ph-biatness of<br />a Banach algebra A, where ph is a continuous homomorphism on A.<br />We prove that if ph is a continuous epimorphism on A and A has<br />a bounded approximate identity and A is ph- bi<br />at, then A is ph-amenable. In the case where ph is an isomorphism on A we show<br />that the ph- amenability of A implies its ph-bi<br />atness.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701On solubility of groups with finitely many centralizers517521427ENM. ZarrinUniversity of KurdistanJournal Article20111225For any group G, let C(G) denote the set of centralizers of G.<br />We say that a group G has n centralizers (G is a Cn-group) if |C(G)| = n.<br />In this note, we prove that every ﬁnite Cn-group with n ≤ 21 is soluble and<br />this estimate is sharp. Moreover, we prove that every ﬁnite Cn-group with<br />|G| < 30n+15<br />19 is non-nilpotent soluble. This result gives a partial answer to a<br />conjecture raised by A. Ashraﬁ in 2000Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701Completely coretractable rings523528428ENJ. ZemlickaDepartment of Algebra
Faculty of Mathematics and Physics, Charles University in Prague,Journal Article20120126A module $M$ is said to be coretractable if there exists a nonzero homomorphism of every nonzero factor of $M$ into $M$. We prove that all right (left) modules over a ring are coretractable if and only if the ring is Morita equivalent to a finite product of local right and left perfect rings.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701Asymptotic properties of the sample mean in adaptive sequential sampling with multiple selection criteria529557429ENA. ParvardehAcademic ProfessorB. PanahbehaghIsfahan University of TechnologyM. SalehiQatar UniversityJ. BrownUniversity of CanterburyD. SmithU.S. Geological SurveyJournal Article20120204We extend the method of adaptive two-stage sequential sampling to<br />include designs where there is more than one criteria is used in<br />deciding on the allocation of additional sampling effort. These<br />criteria, or conditions, can be a measure of the target<br />population, or a measure of some related population. We develop<br />Murthy estimator for the design that is unbiased estimators for<br />the population mean, and propose another, more efficient,<br />estimator. We investigate asymptotic properties of this estimator.<br />We use a simulation study to investigate design properties of the<br />multi-criteria adaptive sequential sampling scheme and also some<br />estimator properties under the design.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701Biflatness and biprojectivity of Lau product of Banach algebras559568430ENA. R.KhoddamiFerdowsi University of MashhadH. R.Ebrahimi VishkiFerdowsi University of MashhadJournal Article20110805Amonge other things we give sufficient and necessary conditions for the Lau product of Banach<br />algebras to be biflat or biprojective.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701Some results on the polynomial numerical hulls of matrices569578431ENH. R.AfshinDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.M. A.MehrjoofardDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.A. SalemiDepartment of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran.Journal Article20110306In this note we characterize polynomial numerical hulls of matrices $A in M_n$ such that<br />$A^2$ is Hermitian. Also, we consider normal matrices $A in M_n$ whose $k^{th}$ power are semidefinite. For such matrices<br />we show that $V^k(A)=sigma(A)$.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39320130701Rings in which elements are the sum of an
idempotent and a regular element579588432ENN. AshrafiSemnan UniversityE. NasibiSemnan UniversityJournal Article20120206Let R be an associative ring with unity. An element <br />a in R is said to be r-clean if a = e+r, where e is an idempotent and <br />r is a regular (von Neumann) element in R. If every element of R is <br />r-clean, then R is called an r-clean ring. In this paper, we prove that <br />the concepts of clean ring and r-clean ring are equivalent for abelian <br />rings. Further we prove that if 0 and 1 are the only idempotents <br />in R, then an r-clean ring is an exchange ring. Also we show that <br />the center of an r-clean ring is not necessary r-clean, but if 0 and <br />1 are the only idempotents in R, then the center of an r-clean ring <br />is r-clean. Finally we give some properties and examples of r-clean <br />rings