eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
853
868
269
Newton-Product integration for a Two-phase Stefan problem with Kinetics
B. Babayar-Razlighi
Babayar@tabrizu.ac.ir
1
Karim Ivaz
ivaz@tabrizu.ac.ir
2
M. Mokhtarzadeh
MrMokhtarzadeh@gmail.com
3
A. Badamchizadeh
Badamchi_ali@yahoo.com
4
University of Tabriz
University of Tabriz
Institute for studies in theoretical physics and mathematics
University of Tabriz
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.
http://bims.iranjournals.ir/article_269_d77a723b16e1070e635dd7aabf3cbdec.pdf
Two-phase Stefan problem
Kinetic function
Newton's
method
Product integration
Nonlinear Volterra integral equations
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
869
882
292
Multiple point of self-transverse immesions of certain manifolds
Mohammad Ali Asadi-Golmankhaneh
masadig@yahoo.com
1
Assistant Prof. Mathematics Department, Urmia University
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.
http://bims.iranjournals.ir/article_292_f640c8c7d63984f075314fc293f12751.pdf
Immersion
Hurewicz
homomorphism
spherical classes
Stiefel-Whitney number
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
883
892
223
Entropy operator for continuous dynamical systems of finite topological entropy
Mehdi Rahimi
m10.rahimi@gmail.com
1
Abdolhamid Riazi
ph.riazi@yahoo.com
2
Amirkabir University of technology
Amirkabir University of technology
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.
http://bims.iranjournals.ir/article_223_e9885c9254062cfa69de1fd24b6324d7.pdf
Entropy
entropy operator
dynamical system
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
893
905
296
On generalized left (alpha, beta)-derivations in rings
Mohammad Ashraf
mashraf80@hotmail.com
1
Shakir Ali
shakir.ali.mm@amu.ac.in
2
Nadeem Rehman
rehman100@gmail.com
3
Muzibur Mozumder
mrm7862000@yahoo.co.in
4
Aligarh Muslim University
Aligarh Muslim University
Aligarh Muslim University
Aligarh Muslim University
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 $R$.
http://bims.iranjournals.ir/article_296_f014a56e90c11a757243288bb277b4db.pdf
Prime ring
Lie ideal
Jordan left (alpha,beta)-derivation
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
907
924
312
An automaton group: a computational case study
Mohammad Jelodari Mamaghani
j_mamaghani@atu.ac.ir
1
Professor of mathematics Dept of maths and stats, Allameh tabatabaei univ.
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 .
http://bims.iranjournals.ir/article_312_875ffba1c361564addaaeccfb6b42113.pdf
Automaton group
weakly branch
contracting group
exponential growth
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
925
934
248
A common fixed point theorem on ordered metric spaces
Hemant Nashine
hemantnashine@rediffmail.com
1
Ishak Altun
ishakaltun@yahoo.com
2
Disha Institute of Management and Technology
Kirikkale University, Faculty of Science and Arts
A common fixed point result for weakly increasing mappings satisfying generalized contractive type of Zhang in ordered metric spaces are derived.
http://bims.iranjournals.ir/article_248_61bfef788cf33de9b3b6ee9948a43e76.pdf
fixed point
complete metric space
partially ordered set
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
935
945
265
Uniqueness of meromorphic functions dealing with multiple values in an angular domain
Wu Zhaojun
wuzj52@hotmail.com
1
Chen Yuxian
44976882@qq.com
2
school of Mathematics and
Statistics, Xianning University, Xianning, Hubei,
P. R. China, 437100
Department of Mathematics, Xinyu University Xinyu, Jiangxi Province, 338000, P. R.
China
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.
http://bims.iranjournals.ir/article_265_c7a4f751f9d2ac1abede02daa6a237ef.pdf
Tsuji’s characteristic
uniqueness
angular domain
multiple values
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
947
954
267
Uniserial modules of generalized power series
Renyu Zhao
zhaory@nwnu.edu.cn
1
Northwest Normal University
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.
http://bims.iranjournals.ir/article_267_7d5809a8364501044da31ce9f9f28849.pdf
uniserial module
chain monoid
generalized power series ring
generalized power series module
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
955
972
308
Para-Kahler tangent bundles of constant para-holomorphic sectional curvature
Simona-Luiza Druta-Romaniuc
simonadruta@yahoo.com
1
Department of Sciences, Al. I. Cuza University
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.
http://bims.iranjournals.ir/article_308_b220cc7c0d3e496afd0a4df3a423d435.pdf
natural lifts
almost product structures
para-Hermitian structures
para-K"ahler structures
para-holomorphic sectional curvature
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
973
986
303
A generalization of the probability that the commutator of two group elements is equal to a given element
Ahmad Alghamdi
amghamdi@uqu.edu.sa
1
Francesco G. Russo
francescog.russo@yahoo.com
2
Department of Mathematics, University Umm Alqura
Department of Mathematics, University of Palermo
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.
http://bims.iranjournals.ir/article_303_c20073079049ede5f1ba75c86fa2eb03.pdf
Commutativity degree
relative n-th nilpotency degree
probability of
commuting pairs
characters
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
987
1005
304
Fully idempotent and coidempotent modules
Habibollah Ansari-Toroghy
ansari@guilan.ac.ir
1
Faranak Farshadifar
farshadifar@guilan.ac.ir
2
University of Guilan
University of Guilan
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.
http://bims.iranjournals.ir/article_304_6d9a658da1b800cac3492316784b678d.pdf
Idempotent submodule
fully idempotent module
coidempotent submodule
copure submodule
and fully coidempotent module
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
1007
1020
306
Some difference results on Hayman conjecture and uniqueness
Kai Liu
liukai418@126.com
1
Tingbin Cao
tbcao@ncu.edu.cn
2
Xinling Liu
sdliuxinling@hotmail.com
3
Nanchang university, Department of mathematics
Nanchang university, Department of mathematics
Nanchang university, Department of mathematics
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.
http://bims.iranjournals.ir/article_306_332a41daa98fd9beeb51176a86683aae.pdf
Entire functions
Difference
finite order
uniqueness
Value sharing
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
1021
1045
309
MRA parseval frame multiwavelets in L^2(R^d)
Liu Zhanwei
changgengliu@163.com
1
Xiaomin Mu
iexmmu@zzu.edu.cn
2
Guochang Wu
archang-0111@163.com
3
School of Information Engineering, Zhengzhou University
School of Information Engineering, Zhengzhou University
Department of Applied Mathematics, Henan University of Economics and Law
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.
http://bims.iranjournals.ir/article_309_01a3168b09b684df64188d271d92cc75.pdf
frame
Matrix ﬁlter
Pseudo-scaling function
MRA Parseval frame multiwavelets
Matrix multiwavelets multiplier
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
1047
1061
294
Iterative methods for finding nearest common fixed points of a countable family of quasi-Lipschitzian mappings
Weerayuth Nilsrakoo
nilsrakoo@hotmail.com
1
Satit Saejung
saejung@kku.ac.th
2
Department of Mathematics, Statistics and Computer,
Faculty of Science, Ubon Ratchathani University, Ubon Ratchathani
34190, Thailand
Department of
Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand
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.
http://bims.iranjournals.ir/article_294_985ac6bbba0e6961cfd2afe91f6cd137.pdf
Asymptotically nonexpansive mapping
equilibrium problem
quasi-Lipschitzian mapping
strong convergence theorem
variational inequality
problem
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2012-12-15
38
4
1063
1077
408
Smarandache algebras and their subgroups
P Allen
1
H. Kim
2
J Neggers
3
University of Alabama
Hanyang University and Research Institute for Natural Sciences
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_9aed5a7ca47d5a6c66edeb8918a979c6.pdf