Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
Newton-Product integration for a Two-phase Stefan problem with Kinetics
853
868
EN
B.
Babayar-Razlighi
University of Tabriz
Babayar@tabrizu.ac.ir
Karim
Ivaz
University of Tabriz
ivaz@tabrizu.ac.ir
M.
R.
Mokhtarzadeh
Institute for
studies in
theoretical physics and mathematics
MrMokhtarzadeh@gmail.com
A.
N.
Badamchizadeh
University of Tabriz
Badamchi_ali@yahoo.com
We reduce the two phase Stefan problem with kinetic to a system of nonlinear Volterra integral equations of second kind and apply Newton's method to linearize it. We found product integration solution of the linear form. Sufficient conditions for convergence of the numerical method are given and their applicability is illustrated with an example.
Two-phase Stefan problem,Kinetic function,Newton's
method,Product integration,Nonlinear Volterra integral equations
http://bims.iranjournals.ir/article_269.html
http://bims.iranjournals.ir/article_269_d77a723b16e1070e635dd7aabf3cbdec.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
Multiple point of self-transverse immesions of certain manifolds
869
882
EN
Mohammad Ali
Asadi-Golmankhaneh
Assistant Prof. Mathematics Department, Urmia University
masadig@yahoo.com
In this paper we will determine the multiple point manifolds of certain self-transverse immersions in Euclidean spaces. Following the triple points, these immersions have a double point self-intersection set which is the image of an immersion of a smooth 5-dimensional manifold, cobordant to Dold manifold $V^5$ or a boundary. We will show there is an immersion of $S^7times P^2$ in $mathbb{R}^{13}$ with double point manifold cobordant to Dold manifold $V^5$, and an immersion of $P^2times P^2times P^2times P^2times P^2$ in $mathbb{R}^{15}$ with double point manifold a boundary and the triple point set is odd number. These will be done by introducing the product technique and reading off the Stiefel-Whitney numbers of the self-intersection manifolds.
Immersion,Hurewicz
homomorphism,spherical classes,Stiefel-Whitney number
http://bims.iranjournals.ir/article_292.html
http://bims.iranjournals.ir/article_292_f640c8c7d63984f075314fc293f12751.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
Entropy operator for continuous dynamical systems of finite topological entropy
883
892
EN
Mehdi
Rahimi
Amirkabir University of technology
m10.rahimi@gmail.com
Abdolhamid
Riazi
Amirkabir University of technology
ph.riazi@yahoo.com
In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.
Entropy,entropy operator,dynamical system
http://bims.iranjournals.ir/article_223.html
http://bims.iranjournals.ir/article_223_e9885c9254062cfa69de1fd24b6324d7.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
On generalized left (alpha, beta)-derivations in rings
893
905
EN
Mohammad
Ashraf
Aligarh Muslim University
mashraf80@hotmail.com
Shakir
Ali
Aligarh Muslim University
shakir.ali.mm@amu.ac.in
Nadeem
ur
Rehman
Aligarh Muslim University
rehman100@gmail.com
Muzibur
Rahman
Mozumder
Aligarh Muslim University
mrm7862000@yahoo.co.in
Let $R$ be a 2-torsion free ring and $U$ be a square closed Lie ideal of $R$. Suppose that $alpha, beta$ are automorphisms of $R$. An additive mapping $delta: R longrightarrow R$ is said to be a Jordan left $(alpha,beta)$-derivation of $R$ if $delta(x^2)=alpha(x)delta(x)+beta(x)delta(x)$ holds for all $xin R$. In this paper it is established that if $R$ admits an additive mapping $G : Rlongrightarrow R$ satisfying $G(u^2)=alpha(u)G(u)+alpha(u)delta(u)$ for all $uin U$ and a Jordan left $(alpha,alpha)$-derivation $delta$; and $U$ has a commutator which is not a left zero divisor, then $G(uv)=alpha(u)G(v)+alpha(v)delta(u)$ for all $u, vin U$. Finally, in the case of prime ring $R$ it is proved that if $G: R longrightarrow R$ is an additive mapping satisfying $G(xy)=alpha(x)G(y)+beta(y)delta(x)$ for all $x,y in R $ and a left $(alpha, beta)$-derivation $delta$ of $R$ such that $G$ also acts as a homomorphism or as an linebreak anti-homomorphism on a nonzero ideal $I$ of $R$, then either $R$ is commutative or $delta=0$ ~on $R$.
Prime ring,Lie ideal,Jordan left (alpha,beta)-derivation
http://bims.iranjournals.ir/article_296.html
http://bims.iranjournals.ir/article_296_f014a56e90c11a757243288bb277b4db.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
An automaton group: a computational case study
907
924
EN
Mohammad
Jelodari Mamaghani
Professor of mathematics Dept of maths and stats, Allameh tabatabaei univ.
j_mamaghani@atu.ac.ir
We introduce a two generated weakly branch contracting automaton group $G$ which is generated by a two state automaton on a three letter alphabet. Using its branch structure and the finiteness nature of a sequence of its factor groups we compute the order of some of these factors. Furthermore some algebraic properties of $G$ are detected .
Automaton group,weakly branch,contracting group,exponential growth
http://bims.iranjournals.ir/article_312.html
http://bims.iranjournals.ir/article_312_875ffba1c361564addaaeccfb6b42113.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
A common fixed point theorem on ordered metric spaces
925
934
EN
Hemant
Kumar
Nashine
Disha Institute of Management and Technology
hemantnashine@rediffmail.com
Ishak
Altun
Kirikkale University, Faculty of Science and Arts
ishakaltun@yahoo.com
A common fixed point result for weakly increasing mappings satisfying generalized contractive type of Zhang in ordered metric spaces are derived.
fixed point,complete metric space,partially ordered set
http://bims.iranjournals.ir/article_248.html
http://bims.iranjournals.ir/article_248_61bfef788cf33de9b3b6ee9948a43e76.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
Uniqueness of meromorphic functions dealing with multiple values in an angular domain
935
945
EN
Wu
Zhaojun
school of Mathematics and
Statistics, Xianning University, Xianning, Hubei,
P. R. China, 437100
wuzj52@hotmail.com
Chen
Yuxian
Department of Mathematics, Xinyu University Xinyu, Jiangxi Province, 338000, P. R.
China
44976882@qq.com
This paper uses the Tsuji’s characteristic to investigate the uniqueness of transcen- dental meromorphic function with shared values in an angular domain dealing with the multiple values which improve a result of J. Zheng.
Tsuji’s characteristic,uniqueness,angular domain,multiple values
http://bims.iranjournals.ir/article_265.html
http://bims.iranjournals.ir/article_265_c7a4f751f9d2ac1abede02daa6a237ef.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
Uniserial modules of generalized power series
947
954
EN
Renyu
Zhao
Northwest Normal University
zhaory@nwnu.edu.cn
Let R be a ring, M a right R-module and (S,≤) a strictly ordered monoid. In this paper we will show that if (S,≤) is a strictly ordered monoid satisfying the condition that 0 ≤ s for all s ∈ S, then the module [[MS,≤]] of generalized power series is a uniserial right [[RS,≤]] ]]-module if and only if M is a simple right R-module and S is a chain monoid.
uniserial module,chain monoid,generalized power series ring,generalized power series module
http://bims.iranjournals.ir/article_267.html
http://bims.iranjournals.ir/article_267_7d5809a8364501044da31ce9f9f28849.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
Para-Kahler tangent bundles of constant para-holomorphic sectional curvature
955
972
EN
Simona-Luiza
Druta-Romaniuc
Department of Sciences, Al. I. Cuza University
simonadruta@yahoo.com
We characterize the natural diagonal almost product (locally product) structures on the tangent bundle of a Riemannian manifold. We obtain the conditions under which the tangent bundle endowed with the determined structure and with a metric of natural diagonal lift type is a Riemannian almost product (locally product) manifold, or an (almost) para-Hermitian manifold. We find the natural diagonal (almost) para-K"ahlerian structures on the tangent bundle, and we study the conditions under which they have constant para-holomorphic sectional curvature.
natural lifts,almost product structures,para-Hermitian structures,para-K"ahler structures,para-holomorphic sectional curvature
http://bims.iranjournals.ir/article_308.html
http://bims.iranjournals.ir/article_308_b220cc7c0d3e496afd0a4df3a423d435.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
A generalization of the probability that the commutator of two group elements is equal to a given element
973
986
EN
Ahmad
M. A.
Alghamdi
Department of Mathematics, University Umm Alqura
amghamdi@uqu.edu.sa
Francesco G.
Russo
Department of Mathematics, University of Palermo
francescog.russo@yahoo.com
The probability that the commutator of two group elements is equal to a given element has been introduced in literature few years ago. Several authors have investigated this notion with methods of the representation theory and with combinatorial techniques. Here we illustrate that a wider context may be considered and show some structural restrictions on the group.
Commutativity degree,relative n-th nilpotency degree,probability of
commuting pairs,characters
http://bims.iranjournals.ir/article_303.html
http://bims.iranjournals.ir/article_303_c20073079049ede5f1ba75c86fa2eb03.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
Fully idempotent and coidempotent modules
987
1005
EN
Habibollah
Ansari-Toroghy
University of Guilan
ansari@guilan.ac.ir
Faranak
Farshadifar
University of Guilan
farshadifar@guilan.ac.ir
In this paper, the notion of fully idempotent modules is defined and it is shown that this notion inherits most of the essential properties of the usual notion of von Neumann's regular rings. Furthermore, we introduce the dual notion of fully idempotent modules (that is, fully coidempotent modules) and investigate some properties of this class of modules.
Idempotent submodule,fully idempotent module,coidempotent submodule,copure submodule,and fully coidempotent module
http://bims.iranjournals.ir/article_304.html
http://bims.iranjournals.ir/article_304_6d9a658da1b800cac3492316784b678d.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
Some difference results on Hayman conjecture and uniqueness
1007
1020
EN
Kai
Liu
Nanchang university, Department of mathematics
liukai418@126.com
Tingbin
Cao
Nanchang university, Department of mathematics
tbcao@ncu.edu.cn
Xinling
Liu
Nanchang university, Department of mathematics
sdliuxinling@hotmail.com
In this paper, we show that for any finite order entire function $f(z)$, the function of the form $f(z)^{n}[f(z+c)-f(z)]^{s}$ has no nonzero finite Picard exceptional value for all nonnegative integers $n, s$ satisfying $ngeq 3$, which can be viewed as a different result on Hayman conjecture. We also obtain some uniqueness theorems for difference polynomials of entire functions sharing one common value.
Entire functions,Difference,finite order,uniqueness,Value sharing
http://bims.iranjournals.ir/article_306.html
http://bims.iranjournals.ir/article_306_332a41daa98fd9beeb51176a86683aae.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
MRA parseval frame multiwavelets in L^2(R^d)
1021
1045
EN
Liu
Zhanwei
School of Information Engineering, Zhengzhou University
changgengliu@163.com
Xiaomin
Mu
School of Information Engineering, Zhengzhou University
iexmmu@zzu.edu.cn
Guochang
Wu
Department of Applied
Mathematics, Henan
University of Economics and Law
archang-0111@163.com
In this paper, we characterize multiresolution analysis(MRA) Parseval frame multiwavelets in L^2(R^d) with matrix dilations of the form (D f )(x) = sqrt{2}f (Ax), where A is an arbitrary expanding dtimes d matrix with integer coefficients, such that |detA| =2. We study a class of generalized low pass matrix filters that allow us to define (and construct) the subclass of MRA tight frame multiwavelets. This leads us to an associated class of generalized scaling functions that are not necessarily obtained from a multiresolution analysis. We also investigate several properties of these classes of generalized multiwavelets, scaling functions, matrix filters and give some characterizations about them. Finally, we describe the matrix multipliers classes associated with Parseval frame multiwavelets(PFMWs) in L^2(R^d) and give an example to prove our theory.
frame,Matrix ﬁlter,Pseudo-scaling function,MRA Parseval frame multiwavelets,Matrix multiwavelets multiplier
http://bims.iranjournals.ir/article_309.html
http://bims.iranjournals.ir/article_309_01a3168b09b684df64188d271d92cc75.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
Iterative methods for finding nearest common fixed points of a countable family of quasi-Lipschitzian mappings
1047
1061
EN
Weerayuth
Nilsrakoo
Department of Mathematics, Statistics and Computer,
Faculty of Science, Ubon Ratchathani University, Ubon Ratchathani
34190, Thailand
nilsrakoo@hotmail.com
Satit
Saejung
Department of
Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand
saejung@kku.ac.th
We prove a strong convergence result for a sequence generated by Halpern's type iteration for approximating a common fixed point of a countable family of quasi-Lipschitzian mappings in a real Hilbert space. Consequently, we apply our results to the problem of finding a common fixed point of asymptotically nonexpansive mappings, an equilibrium problem, and a variational inequality problem for continuous monotone mappings.
Asymptotically nonexpansive mapping,equilibrium problem,quasi-Lipschitzian mapping,strong convergence theorem,variational inequality
problem
http://bims.iranjournals.ir/article_294.html
http://bims.iranjournals.ir/article_294_985ac6bbba0e6961cfd2afe91f6cd137.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
38
4
2012
12
15
Smarandache algebras and their subgroups
1063
1077
EN
P
Allen
University of Alabama
H.
S.
Kim
Hanyang University and Research Institute for Natural Sciences
J
Neggers
University of Alabama
In this paper we define S algebras and show that every finite group can be found in some S algebra. We define and study the S degree of a finite group and determine the S degree of several classes of finite groups such as cyclic groups, elementary abelian $p$-groups, and dihedral groups $D_p$.
http://bims.iranjournals.ir/article_408.html
http://bims.iranjournals.ir/article_408_9aed5a7ca47d5a6c66edeb8918a979c6.pdf