Bulletin of the Iranian Mathematical Society text article 2014 eng Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 http://bims.iranjournals.ir/article_533_31f05be9e90172b8c3ed455449600263.pdf $n$-cocoherent rings‎, ‎$n$-cosemihereditary rings and $n$-V-rings Z. ‎Zhu Department of mathematics,jiaxing university,jiaxing,zhejiang province,china,314001 author text article 2014 eng  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 ‎$n$-cosemihereditary if every submodule of a projective right $R$-module is‎ ‎$(n‎, ‎0)$-projective‎, ‎it is called a right‎ ‎$n$-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. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 809 822 http://bims.iranjournals.ir/article_534_6e88012f7bf840453d8d81689ea550fc.pdf A modified Mann iterative scheme for a sequence of‎ ‎nonexpansive mappings and a monotone mapping with applications M. ‎Bagherboum Science Department, karaj University author A. Razani Department of Mathematics, Faculty of Science, I.Kh. International University, author text article 2014 eng ‎In a real Hilbert space‎, ‎an iterative scheme is considered to‎ ‎obtain strong convergence which is an essential tool to find a‎ ‎common fixed point for a countable family of nonexpansive mappings‎ ‎and the solution of a variational inequality problem governed by a‎ ‎monotone mapping‎. ‎In this paper‎, ‎we give a procedure which results‎ ‎in developing Shehu's result to solve equilibrium problem‎. ‎Then‎, ‎we state more applications of this procedure‎. ‎Finally‎, ‎we‎ ‎investigate some numerical examples which hold in our main‎ ‎results‎. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 823 849 http://bims.iranjournals.ir/article_535_48d8b48dcbd7dc8de86f2c490d9874e8.pdf Existence of an $L^p$-solution for two dimensional integral equations of the Hammerstein type S. A. Hosseini Faculty of Mathematical Sciences, University of Tabriz author S. Shahmorad University of Tabriz, Faculty of Mathematical Sciences author A. Tari Faculty of Sciences, Shahed University author text article 2014 eng In this paper‎, ‎existence of an $L^p$-solution for 2DIEs (Two‎ ‎Dimensional Integral Equations) of the Hammerstein type is‎ ‎discussed‎. ‎The main tools in this discussion are Schaefer's and‎ ‎Schauder's fixed point theorems with a general version of‎ ‎Gronwall's inequality‎. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 851 862 http://bims.iranjournals.ir/article_536_2f3ef6af63c98ea3d44ccb63275c001b.pdf Symmetry classes of polynomials associated with the dihedral group E. Babaei Sahand University of Technology author Y. Zamani Sahand University of Technology author text article 2014 eng ‎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. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 863 874 http://bims.iranjournals.ir/article_537_2a82872fe659dd26c6d5d9e44b4bfb29.pdf Convergence results‎: ‎A new type iteration scheme for two asymptotically nonexpansive mappings in uniformly convex Banach spaces M. R. Yadav School of Studies in Mathematics Pt.Ravishankar Shukla University Raipur (C.G.) India author text article 2014 eng ‎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. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 875 889 http://bims.iranjournals.ir/article_538_63b10c08a071de52225dc6d630992cef.pdf A strong convergence theorem for solutions of zero point problems and fixed point problems S. Y. Cho Gyeongsang National University author X. Qin Hangzhou Normal University, author L. Wang Yunnan University of Finance and Economics author text article 2014 eng 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. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 891 910 http://bims.iranjournals.ir/article_539_23cd892bd2081092d0be4a1b2f1a4125.pdf Higher order close-to-convex functions associated with Attiya-Srivastava operator S. Hussain COMSATS Abbottabad Pakistan author M. Arif Abdul Wali Khan University Mardan Pakistan author S‎. ‎ Nawaz Malik COMSATS Islamabad Pakistan author text article 2014 eng 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. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 911 920 http://bims.iranjournals.ir/article_540_816202a2ed253c9673f8148c1b13bd36.pdf On quasi-Einstein Finsler spaces‎ B. Bidabad Amirkabir University of Technology author M. Yarahmadi Amirkabir Univrsity of Technology author text article 2014 eng ‎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. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 921 930 http://bims.iranjournals.ir/article_541_7472f19f2810a7f4552d433681a7d1d3.pdf Reversibility of a module with respect to the bifunctors Hom and‎ ‎Rej Y. Tolooei Isfahan University of Technology author M. R. Vedadi Department of of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, author text article 2014 eng 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. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 931 940 http://bims.iranjournals.ir/article_542_aa4318fb32317b7ebcdad5b47acfa0d1.pdf Quintasymptotic sequences over an ideal and quintasymptotic cograde S. Jahandoust Department of Mathematics&lrm;, &lrm;University of Tabriz author R. Naghipour Department of Mathematics&lrm;, &lrm;University of Tabriz&lrm; author text article 2014 eng ‎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. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 941 959 http://bims.iranjournals.ir/article_543_ddf8b69842a1acade52b2e460b55187e.pdf Frobenius kernel and Wedderburn's little theorem M. Amiri University of Zanjan author M. Ariannejad University of Zanjan author text article 2014 eng We give a new proof of the well known Wedderburn's little theorem (1905) that a finite‎ ‎division ring is commutative‎. ‎We apply the concept of Frobenius kernel in Frobenius representation theorem in finite group‎ ‎theory to build a proof‎. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 961 965 http://bims.iranjournals.ir/article_544_2c7e68d9736c0920eb61c0208eed24eb.pdf On the polar derivative of a polynomial A. Zireh shahrood university of technology author text article 2014 eng 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. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 967 976 http://bims.iranjournals.ir/article_545_25cacb1cfc89664cf306d62474aa18c5.pdf Strong convergence of a general implicit algorithm for variational inequality problems and equilibrium problems and a continuous representation of nonexpansive mappings M. Lashkarizadeh Bami Isfahan university author E. Soori isfahan university author text article 2014 eng We introduce a general implicit algorithm for finding a common element of‎ ‎the set of solutions of systems of equilibrium problems and the set of common fixed points‎ ‎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 ‎problems and the common fixed points of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings‎. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 977 1001 http://bims.iranjournals.ir/article_546_1820e2c60c3fa9a0249788aca8bd564b.pdf Strong convergence of modified noor iteration in CAT(0) spaces A. Cuntavepanit Chiang mai University author text article 2014 eng 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. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 1003 1016 http://bims.iranjournals.ir/article_547_d7115467992c70e2c9679773b3bed8b8.pdf On the sum of Pell and Jacobsthal numbers by matrix method M. Akbulak Siirt University author A. Öteleș Dicle University author text article 2014 eng 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. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 1017 1025 http://bims.iranjournals.ir/article_548_427451a378e7b360196f24cc5049fb08.pdf Lexicographical ordering by spectral moments of trees with a given bipartition S. L i Faculty of Mathematics and Statistics, Central China Normal University author J. Zhang Faculty of Mathematics and Statistics, Central China Normal University author text article 2014 eng  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. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 1027 1045 http://bims.iranjournals.ir/article_549_35141bc2aab0229a44065c872ea2a41b.pdf Continuous frames and g-frames S. H. Avazzadeh Department of Mathematics, Ferdowsi University of Mashhad author R. A. Kamyabi Gol Department of Mathematics, Ferdowsi University of Mashhad author R. Raisi Tousi Department of Mathematics, Ferdowsi University of Mashhad author text article 2014 eng 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. Bulletin of the Iranian Mathematical Society Iranian Mathematical Society (IMS) 1017-060X 40 v. 4 no. 2014 1047 1055 http://bims.iranjournals.ir/article_550_a9b4d08783a83fc5fff14349bb6bf7bc.pdf