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, ‎University of Tabriz
author
R.
Naghipour
Department of Mathematics‎, ‎University of Tabriz‎
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