Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801$n$-cocoherent rings, $n$-cosemihereditary rings and $n$-V-rings809822534ENZ.ZhuDepartment of mathematics,jiaxing university,jiaxing,zhejiang province,china,314001Journal Article20110611 Let $R$ be a ring, and let $n, d$ be non-negative integers. A right $R$-module $M$ is called $(n, d)$-projective if $Ext^{d+1}_R(M, A)=0$ for every $n$-copresented right $R$-module $A$. $R$ is called right $n$-cocoherent if every $n$-copresented right $R$-module is $(n+1)$-coprese-nted, it is called a right co-$(n,d)$-ring if every right $R$-module is $(n, d)$-projective. $R$ is called right <br />$n$-cosemihereditary if every submodule of a projective right $R$-module is <br />$(n, 0)$-projective, it is called a right <br />$n$-V-ring if it is a right co-$(n,0)$-ring. Some properties of $(n, d)$-projective modules and $(n, d)$-projective dimensions of modules over $n$-cocoherent rings are studied. Certain characterizations of $n$-copresented modules, $(n, 0)$-projective modules, right $n$-cocoherent rings, right $n$-cosemihereditary rings, as well as right $n$-V-rings are given respectively.http://bims.iranjournals.ir/article_534_6e88012f7bf840453d8d81689ea550fc.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801A modified Mann iterative scheme for a sequence of nonexpansive mappings and a monotone mapping with applications823849535ENM.BagherboumScience Department, karaj UniversityA.RazaniDepartment of Mathematics, Faculty of Science, I.Kh. International University,Journal Article20120630In a real Hilbert space, an iterative scheme is considered to <br />obtain strong convergence which is an essential tool to find a <br />common fixed point for a countable family of nonexpansive mappings <br />and the solution of a variational inequality problem governed by a <br />monotone mapping. In this paper, we give a procedure which results <br />in developing Shehu's result to solve equilibrium problem. Then, <br />we state more applications of this procedure. Finally, we <br />investigate some numerical examples which hold in our main <br />results.http://bims.iranjournals.ir/article_535_48d8b48dcbd7dc8de86f2c490d9874e8.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801Existence of an $L^p$-solution for two dimensional integral equations of the Hammerstein type851862536ENS. A.HosseiniFaculty of Mathematical
Sciences, University of TabrizS.ShahmoradUniversity of Tabriz, Faculty of Mathematical SciencesA.TariFaculty of Sciences, Shahed UniversityJournal Article20120506In this paper, existence of an $L^p$-solution for 2DIEs (Two <br />Dimensional Integral Equations) of the Hammerstein type is <br />discussed. The main tools in this discussion are Schaefer's and <br />Schauder's fixed point theorems with a general version of <br />Gronwall's inequality.http://bims.iranjournals.ir/article_536_2f3ef6af63c98ea3d44ccb63275c001b.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801Symmetry classes of polynomials associated with the dihedral group863874537ENE.BabaeiSahand University of TechnologyY.ZamaniSahand University of TechnologyJournal Article20130317In this paper, we obtain the dimensions of symmetry classes of polynomials associated with
the irreducible characters of the dihedral group as a subgroup of
the full symmetric group. Then we discuss the existence of o-basis
of these classes.http://bims.iranjournals.ir/article_537_2a82872fe659dd26c6d5d9e44b4bfb29.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801Convergence results: A new type iteration scheme for two asymptotically nonexpansive mappings in uniformly convex Banach spaces875889538ENM. R.YadavSchool of Studies in Mathematics
Pt.Ravishankar Shukla University
Raipur (C.G.) IndiaJournal Article20120706In this article, we introduce a new type iterative scheme for
approximating common fixed points of two asymptotically
nonexpansive mappings is defined, and weak and strong convergence
theorem are proved for the new iterative scheme in a uniformly
convex Banach space. The results obtained in this article
represent an extension as well as refinement of previous known
results.http://bims.iranjournals.ir/article_538_63b10c08a071de52225dc6d630992cef.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801A strong convergence theorem for solutions of zero point problems and fixed point problems891910539ENS. Y.ChoGyeongsang National
UniversityX.QinHangzhou Normal University,L.WangYunnan University of Finance and EconomicsJournal Article20130317Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated. A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces.http://bims.iranjournals.ir/article_539_23cd892bd2081092d0be4a1b2f1a4125.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801Higher order close-to-convex functions associated with Attiya-Srivastava operator911920540ENS.HussainCOMSATS Abbottabad PakistanM.ArifAbdul Wali Khan University Mardan PakistanS. Nawaz MalikCOMSATS Islamabad PakistanJournal Article20120221In this paper, we introduce a new class$T_{k}^{s,a}[A,B,\alpha ,\beta ]$ of analytic functions by using a
newly defined convolution operator. This class contains many known classes of
analytic and univalent functions as special cases. We derived some
interesting results including inclusion relationships, a radius problem and
sharp coefficient bound for this class.http://bims.iranjournals.ir/article_540_816202a2ed253c9673f8148c1b13bd36.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801On quasi-Einstein Finsler spaces921930541ENB.BidabadAmirkabir University of TechnologyM.YarahmadiAmirkabir Univrsity of TechnologyJournal Article20120620The notion of quasi-Einstein metric in physics is equivalent to the notion of Ricci soliton in Riemannian spaces. Quasi-Einstein metrics serve also as solution to the Ricci flow equation. Here, the Riemannian metric is replaced by a Hessian matrix derived from a Finsler structure and a quasi-Einstein Finsler metric is defined. In compact case, it is proved that the quasi-Einstein metrics are solutions to the Finslerian Ricci flow and conversely, certain form of solutions to the Finslerian Ricci flow are quasi-Einstein Finsler metrics.http://bims.iranjournals.ir/article_541_7472f19f2810a7f4552d433681a7d1d3.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801Reversibility of a module with respect to the bifunctors Hom and Rej931940542ENY.TolooeiIsfahan University of
TechnologyM. R.VedadiDepartment of of Mathematical Sciences, Isfahan University of
Technology, Isfahan 84156-83111,Journal Article20120809Let $M_R$ be a non-zero
module and ${\mathcal F}: \sigma[M_R]\times \sigma[M_R]
\rightarrow$ Mod-$\Bbb{Z}$ a bifunctor. The
$\mathcal{F}$-reversibility of $M$ is defined by ${\mathcal
F}(X,Y)=0 \Rightarrow {\mathcal F}(Y,X)=0$ for all non-zero $X,Y$
in $\sigma[M_R]$. Hom (resp. Rej)-reversibility of $M$ is
characterized in different ways. Among other things, it is shown
that $R_R$ {\rm($_RR$)} is Hom-reversible if and only if $R =
\bigoplus_{i=1}^n R_i$ such that each $R_i$ is a perfect ring with
a unique simple module (up to isomorphism). In particular, for a
duo ring, the concepts of perfectness and Hom-reversibility
coincide.http://bims.iranjournals.ir/article_542_aa4318fb32317b7ebcdad5b47acfa0d1.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801Quintasymptotic sequences over an ideal and quintasymptotic cograde941959543ENS.JahandoustDepartment of Mathematics‎, ‎University of TabrizR.NaghipourDepartment of Mathematics‎, ‎University of Tabriz‎Journal Article20130108Let $I$ denote an ideal of a Noetherian ring $R$. The purpose of
this article is to introduce the concepts of quintasymptotic
sequences over $I$ and quintasymptotic cograde of $I$, and to show that they play a role analogous to quintessential sequences
over $I$ and quintessential cograde of $I$. We show that, if $R$ is
local, then the quintasymptotic cograde of $I$ is unambiguously
defined and behaves well when passing to certain related local
rings. Also, we use this cograde to characterize two classes
of local rings.http://bims.iranjournals.ir/article_543_ddf8b69842a1acade52b2e460b55187e.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801Frobenius kernel and Wedderburn's little theorem961965544ENM.AmiriUniversity of ZanjanM.AriannejadUniversity of ZanjanJournal Article20120608We give a new proof of the well known Wedderburn's little theorem (1905) that a finite <br />division ring is commutative. We apply the concept of Frobenius kernel in Frobenius representation theorem in finite group <br />theory to build a proof.http://bims.iranjournals.ir/article_544_2c7e68d9736c0920eb61c0208eed24eb.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801On the polar derivative of a polynomial967976545ENA.Zirehshahrood university of technologyJournal Article20120307For a polynomial p(z) of degree n, having all zeros in |z|< k, k< 1, Dewan et al [K. K. Dewan, N. Singh and A. Mir, Extension of some polynomial inequalities to the polar derivative, J. Math. Anal. Appl. 352 (2009) 807-815] obtained inequality between the polar derivative of p(z) and maximum modulus of p(z). In this paper we improve and extend the above inequality. Our result generalizes certain well-known polynomial inequalities.http://bims.iranjournals.ir/article_545_25cacb1cfc89664cf306d62474aa18c5.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801Strong convergence of a general implicit algorithm for variational inequality problems and equilibrium problems and a continuous representation of nonexpansive mappings9771001546ENM.Lashkarizadeh BamiIsfahan universityE.Sooriisfahan universityJournal Article20121209We introduce a general implicit algorithm for finding a common element of <br />the set of solutions of systems of equilibrium problems and the set of common fixed points <br />of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings. Then we prove the strong convergence of the proposed implicit scheme to the unique solution of the minimization problem on the solution of systems of equilibrium <br />problems and the common fixed points of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings.http://bims.iranjournals.ir/article_546_1820e2c60c3fa9a0249788aca8bd564b.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801Strong convergence of modified noor iteration in CAT(0) spaces10031016547ENA.CuntavepanitChiang mai UniversityJournal Article20120321We prove a strong convergence theorem for the modified Noor iterations
in the framework of CAT(0) spaces.
Our results extend and improve the corresponding results of
X. Qin, Y. Su and M. Shang, T. H. Kim and H. K. Xu and S. Saejung
and some others.http://bims.iranjournals.ir/article_547_d7115467992c70e2c9679773b3bed8b8.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801On the sum of Pell and Jacobsthal numbers by matrix method10171025548ENM.AkbulakSiirt UniversityA.ÖteleșDicle UniversityJournal Article20121130In this paper, we define two $n$-square upper Hessenberg matrices one of which corresponds to the adjacency matrix of a directed pseudo graph. We investigate relations between permanents and determinants of these upper Hessenberg matrices, and sum formulas of the well-known Pell and Jacobsthal sequences. Finally, we present two Maple 13 procedures in order to calculate permanents of these upper Hessenberg matrices.http://bims.iranjournals.ir/article_548_427451a378e7b360196f24cc5049fb08.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801Lexicographical ordering by spectral moments of trees with a given bipartition10271045549ENS.L IFaculty of Mathematics and Statistics,
Central China Normal UniversityJ.ZhangFaculty of Mathematics and Statistics,
Central China Normal UniversityJournal Article20130111 Lexicographic ordering by spectral moments ($S$-order) among all trees is discussed in this
paper. For two given positive integers $p$ and $q$ with $p\leqslant q$, we denote $\mathscr{T}_n^{p, q}=\{T: T$ is a tree of order $n$ with a $(p, q)$-bipartition\}. Furthermore, the last four trees, in the $S$-order, among $\mathscr{T}_n^{p, q}\,(4\leqslant p\leqslant q)$ are characterized.http://bims.iranjournals.ir/article_549_35141bc2aab0229a44065c872ea2a41b.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40420140801Continuous frames and g-frames10471055550ENS. H.AvazzadehDepartment of Mathematics, Ferdowsi University of MashhadR. A.Kamyabi GolDepartment of Mathematics, Ferdowsi University of MashhadR.Raisi TousiDepartment of Mathematics, Ferdowsi University of MashhadJournal Article20121227In this note, we aim to show that several known generalizations of frames are equivalent to the continuous frame defined by Ali et al. in 1993. Indeed, it is shown that these generalizations can be considered as an operator between two Hilbert spaces.http://bims.iranjournals.ir/article_550_a9b4d08783a83fc5fff14349bb6bf7bc.pdf