2014
40
4
4
0
$n$cocoherent rings, $n$cosemihereditary rings and $n$Vrings
2
2
Let $R$ be a ring, and let $n, d$ be nonnegative 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 $(n+1)$copresented, 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 $n$Vring 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 $n$Vrings are given respectively.
1

809
822


Z.
Zhu
Department of mathematics,jiaxing university,jiaxing,zhejiang province,china,314001
Department of mathematics,jiaxing university,jiaxi
China, R. O. C.
zhuzhanminzjxu@hotmail.com
$(n,d)$projective module
$n$cocoherent ring
co$(n,d)$ring
$n$cosemihereditary ring
$n$Vring
A modified Mann iterative scheme for a sequence of nonexpansive mappings and a monotone mapping with applications
2
2
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.
1

823
849


M.
Bagherboum
Science Department, karaj University
Science Department, karaj University
Iran
m.bagherboom@kiau.ac.ir


A.
Razani
Department of Mathematics, Faculty of Science, I.Kh. International University,
Department of Mathematics, Faculty of Science,
Iran
razani@ipm.ir
Equilibrium problem
maximal monotone operator
strictly pseudocontractive mapping
$W$mapping
Existence of an $L^p$solution for two dimensional integral equations of the Hammerstein type
2
2
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.
1

851
862


S. A.
Hosseini
Faculty of Mathematical
Sciences, University of Tabriz
Faculty of Mathematical
Sciences, University
Iran
ahosseini@tabrizu.ac.ir


S.
Shahmorad
University of Tabriz, Faculty of Mathematical Sciences
University of Tabriz, Faculty of Mathematical
Iran
shahmorad@tabrizu.ac.ir


A.
Tari
Faculty of Sciences, Shahed University
Faculty of Sciences, Shahed University
Iran
tari@shahed.ac.ir
Two dimensional integral equations
Schaefer's and Schauder's fixed point theorems
Gronwall's inequality
Superposition operator
Symmetry classes of polynomials associated with the dihedral group
2
2
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 obasis
of these classes.
1

863
874


E.
Babaei
Sahand University of Technology
Sahand University of Technology
Iran
e_babaei@sut.ac.ir


Y.
Zamani
Sahand University of Technology
Sahand University of Technology
Iran
zamani@sut.ac.ir
Relative symmetric polynomials
irreducible characters
dihedral group
linear Diophantine equations
$p$adic valuation
Convergence results: A new type iteration scheme for two asymptotically nonexpansive mappings in uniformly convex Banach spaces
2
2
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.
1

875
889


M. R.
Yadav
School of Studies in Mathematics
Pt.Ravishankar Shukla University
Raipur (C.G.) India
School of Studies in Mathematics
Pt.Ravishankar
India
yadavmryadav@gmail.com
Twostep iteration process
Asymptotically nonexpansive
Opial's condition
Weak and strong convergence
Common fixed point
A strong convergence theorem for solutions of zero point problems and fixed point problems
2
2
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.
1

891
910


S. Y.
Cho
Gyeongsang National
University
Gyeongsang National
University
Korea, Republic of
ooly61@yahoo.co.kr


X.
Qin
Hangzhou Normal University,
Hangzhou Normal University,
China, R. O. C.
ljjhqxl@yahoo.com.cn


L.
Wang
Yunnan University of Finance and Economics
Yunnan University of Finance and Economics
China (P. R. C.)
wl64mail@yahoo.com.cn
Fixed point
inversestrongly monotone mapping
maximal monotone operator
nonexpansive mapping
Higher order closetoconvex functions associated with AttiyaSrivastava operator
2
2
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.
1

911
920


S.
Hussain
COMSATS Abbottabad Pakistan
COMSATS Abbottabad Pakistan
Pakistan
saqib_math@yahoo.com


M.
Arif
Abdul Wali Khan University Mardan Pakistan
Abdul Wali Khan University Mardan Pakistan
Pakistan
marifmaths@yahoo.com


S.
Nawaz Malik
COMSATS Islamabad Pakistan
COMSATS Islamabad Pakistan
Pakistan
snmalik110@yahoo.com
Closetoconvex functions
bounded boundary rotation
AttiyaSrivastava operator
On quasiEinstein Finsler spaces
2
2
The notion of quasiEinstein metric in physics is equivalent to the notion of Ricci soliton in Riemannian spaces. QuasiEinstein 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 quasiEinstein Finsler metric is defined. In compact case, it is proved that the quasiEinstein metrics are solutions to the Finslerian Ricci flow and conversely, certain form of solutions to the Finslerian Ricci flow are quasiEinstein Finsler metrics.
1

921
930


B.
Bidabad
Amirkabir University of Technology
Amirkabir University of Technology
Iran
bidabad@aut.ac.ir


M.
Yarahmadi
Amirkabir Univrsity of Technology
Amirkabir Univrsity of Technology
Iran
m.yarahmadi@aut.ac.ir
Finsler space
quasiEinstein
Ricci flow
Ricci soliton
Reversibility of a module with respect to the bifunctors Hom and Rej
2
2
Let $M_R$ be a nonzero
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 nonzero $X,Y$
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 Homreversible 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 Homreversibility
coincide.
1

931
940


Y.
Tolooei
Isfahan University of
Technology
Isfahan University of
Technology
Iran
y.toloei@math.iut.ac.ir


M. R.
Vedadi
Department of of Mathematical Sciences, Isfahan University of
Technology, Isfahan 8415683111,
Department of of Mathematical Sciences, Isfahan
Iran
mrvedadi@cc.iut.ac.ir
Coretractable
Kasch module
perfect ring
prime module
cogenerator
Quintasymptotic sequences over an ideal and quintasymptotic cograde
2
2
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.
1

941
959


S.
Jahandoust
Department of Mathematics‎, ‎University of Tabriz
Department of Mathematics‎, ‎Unive
Iran
saeed.e.jahan@gmail.com


R.
Naghipour
Department of Mathematics‎, ‎University of Tabriz‎
Department of Mathematics‎, ‎Unive
Iran
naghipour@ipm.ir
Quintasymptotic prime
quintasymptotic sequence
quasiunmixed ring
Frobenius kernel and Wedderburn's little theorem
2
2
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.
1

961
965


M.
Amiri
University of Zanjan
University of Zanjan
Iran
m.amiri77@gmail.com


M.
Ariannejad
University of Zanjan
University of Zanjan
Iran
m.ariannejad@gmail.com
Division ring
maximal subfield
Frobenius representation theorem
On the polar derivative of a polynomial
2
2
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) 807815] 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 wellknown polynomial inequalities.
1

967
976


A.
Zireh
shahrood university of technology
shahrood university of technology
Iran
azireh@gmail.com
Polar derivative
polynomial inequalities
maximum modulus
restricted zeros of polynomials
Strong convergence of a general implicit algorithm for variational inequality problems and equilibrium problems and a continuous representation of nonexpansive mappings
2
2
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.
1

977
1001


M.
Lashkarizadeh Bami
Isfahan university
Isfahan university
Iran
lashkari@sci.ui.ac.ir


E.
Soori
isfahan university
isfahan university
Iran
sori.e@lu.ac.ir
Continuous representation
invariant mean
equilibrium problem
nonexpansive mapping
classical variational inequality
Strong convergence of modified noor iteration in CAT(0) spaces
2
2
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.
1

1003
1016


A.
Cuntavepanit
Chiang mai University
Chiang mai University
Thailand
asawathep@hotmail.com
Modified noor iteration
CAT(0) spaces
nonexpansive mapping
strong convergence
On the sum of Pell and Jacobsthal numbers by matrix method
2
2
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 wellknown Pell and Jacobsthal sequences. Finally, we present two Maple 13 procedures in order to calculate permanents of these upper Hessenberg matrices.
1

1017
1025


M.
Akbulak
Siirt University
Siirt University
Turkey
makbulak@gmail.com


A.
Öteleș
Dicle University
Dicle University
Turkey
aoteles85@gmail.com
Permanent
Pell sequence
Hessenberg matrix
Lexicographical ordering by spectral moments of trees with a given bipartition
2
2
Lexicographic ordering by spectral moments ($S$order) among all trees is discussed in this
paper. For two given positive integers $p$ and $q$ with $pleqslant q$, 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 $mathscr{T}_n^{p, q},(4leqslant pleqslant q)$ are characterized.
1

1027
1045


S.
L i
Faculty of Mathematics and Statistics,
Central China Normal University
Faculty of Mathematics and Statistics,
Central
China (P. R. C.)
lscmath@mail.ccnu.edu.cn


J.
Zhang
Faculty of Mathematics and Statistics,
Central China Normal University
Faculty of Mathematics and Statistics,
Central
China (P. R. C.)
453919067@qq.com
Spectral moment
$S$order, tree, bipartition
Continuous frames and gframes
2
2
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.
1

1047
1055


S. H.
Avazzadeh
Department of Mathematics, Ferdowsi University of Mashhad
Department of Mathematics, Ferdowsi University
Iran
se_av453@stumail.um.ac.ir


R. A.
Kamyabi Gol
Department of Mathematics, Ferdowsi University of Mashhad
Department of Mathematics, Ferdowsi University
Iran
kamyabi@ferdowsi.um.ac.ir


R.
Raisi Tousi
Department of Mathematics, Ferdowsi University of Mashhad
Department of Mathematics, Ferdowsi University
Iran
raisi@um.ac.ir
Gframe
continuous frame
Sun's gframe