Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 $n$-cocoherent rings‎, ‎$n$-cosemihereditary rings and $n$-V-rings 809 822 534 EN Z. ‎Zhu Department of mathematics,jiaxing university,jiaxing,zhejiang province,china,314001 Journal Article 2011 06 11  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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 A modified Mann iterative scheme for a sequence of‎ ‎nonexpansive mappings and a monotone mapping with applications 823 849 535 EN M. ‎Bagherboum Science Department, karaj University A. Razani Department of Mathematics, Faculty of Science, I.Kh. International University, Journal Article 2012 06 30 ‎In 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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 Existence of an $L^p$-solution for two dimensional integral equations of the Hammerstein type 851 862 536 EN S. A. Hosseini Faculty of Mathematical Sciences, University of Tabriz S. Shahmorad University of Tabriz, Faculty of Mathematical Sciences A. Tari Faculty of Sciences, Shahed University Journal Article 2012 05 06 In 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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 Symmetry classes of polynomials associated with the dihedral group 863 874 537 EN E. Babaei Sahand University of Technology Y. Zamani Sahand University of Technology Journal Article 2013 03 17 ‎In 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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 Convergence results‎: ‎A new type iteration scheme for two asymptotically nonexpansive mappings in uniformly convex Banach spaces 875 889 538 EN M. R. Yadav School of Studies in Mathematics Pt.Ravishankar Shukla University Raipur (C.G.) India Journal Article 2012 07 06 ‎In 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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 A strong convergence theorem for solutions of zero point problems and fixed point problems 891 910 539 EN S. Y. Cho Gyeongsang National University X. Qin Hangzhou Normal University, L. Wang Yunnan University of Finance and Economics Journal Article 2013 03 17 Zero 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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 Higher order close-to-convex functions associated with Attiya-Srivastava operator 911 920 540 EN S. Hussain COMSATS Abbottabad Pakistan M. Arif Abdul Wali Khan University Mardan Pakistan S‎. ‎ Nawaz Malik COMSATS Islamabad Pakistan Journal Article 2012 02 21 In 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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 On quasi-Einstein Finsler spaces‎ 921 930 541 EN B. Bidabad Amirkabir University of Technology M. Yarahmadi Amirkabir Univrsity of Technology Journal Article 2012 06 20 ‎The 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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 Reversibility of a module with respect to the bifunctors Hom and‎ ‎Rej 931 940 542 EN Y. Tolooei Isfahan University of Technology M. R. Vedadi Department of of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Journal Article 2012 08 09 Let $M_R$ 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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 Quintasymptotic sequences over an ideal and quintasymptotic cograde 941 959 543 EN S. Jahandoust Department of Mathematics&lrm;, &lrm;University of Tabriz R. Naghipour Department of Mathematics&lrm;, &lrm;University of Tabriz&lrm; Journal Article 2013 01 08 ‎Let $I$ 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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 Frobenius kernel and Wedderburn's little theorem 961 965 544 EN M. Amiri University of Zanjan M. Ariannejad University of Zanjan Journal Article 2012 06 08 We 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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 On the polar derivative of a polynomial 967 976 545 EN A. Zireh shahrood university of technology Journal Article 2012 03 07 For 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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 Strong convergence of a general implicit algorithm for variational inequality problems and equilibrium problems and a continuous representation of nonexpansive mappings 977 1001 546 EN M. Lashkarizadeh Bami Isfahan university E. Soori isfahan university Journal Article 2012 12 09 We 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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 Strong convergence of modified noor iteration in CAT(0) spaces 1003 1016 547 EN A. Cuntavepanit Chiang mai University Journal Article 2012 03 21 We 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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 On the sum of Pell and Jacobsthal numbers by matrix method 1017 1025 548 EN M. Akbulak Siirt University A. Öteleș Dicle University Journal Article 2012 11 30 In 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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 Lexicographical ordering by spectral moments of trees with a given bipartition 1027 1045 549 EN S. L I Faculty of Mathematics and Statistics, Central China Normal University J. Zhang Faculty of Mathematics and Statistics, Central China Normal University Journal Article 2013 01 11  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.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 40 4 2014 08 01 Continuous frames and g-frames 1047 1055 550 EN S. H. Avazzadeh Department of Mathematics, Ferdowsi University of Mashhad R. A. Kamyabi Gol Department of Mathematics, Ferdowsi University of Mashhad R. Raisi Tousi Department of Mathematics, Ferdowsi University of Mashhad Journal Article 2012 12 27 In 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