2018-11-15T23:23:17Z
http://bims.iranjournals.ir/?_action=export&rf=summon&issue=54
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
Newton-Product integration for a Two-phase Stefan problem with Kinetics
B.
Babayar-Razlighi
Karim
Ivaz
M.
Mokhtarzadeh
A.
Badamchizadeh
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
2012
12
15
853
868
http://bims.iranjournals.ir/article_269_d77a723b16e1070e635dd7aabf3cbdec.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
Multiple point of self-transverse immesions of certain manifolds
Mohammad Ali
Asadi-Golmankhaneh
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
2012
12
15
869
882
http://bims.iranjournals.ir/article_292_f640c8c7d63984f075314fc293f12751.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
Entropy operator for continuous dynamical systems of finite topological entropy
Mehdi
Rahimi
Abdolhamid
Riazi
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
2012
12
15
883
892
http://bims.iranjournals.ir/article_223_e9885c9254062cfa69de1fd24b6324d7.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
On generalized left (alpha, beta)-derivations in rings
Mohammad
Ashraf
Shakir
Ali
Nadeem
Rehman
Muzibur
Mozumder
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
2012
12
15
893
905
http://bims.iranjournals.ir/article_296_f014a56e90c11a757243288bb277b4db.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
An automaton group: a computational case study
Mohammad
Jelodari Mamaghani
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
2012
12
15
907
924
http://bims.iranjournals.ir/article_312_875ffba1c361564addaaeccfb6b42113.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
A common fixed point theorem on ordered metric spaces
Hemant
Nashine
Ishak
Altun
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
2012
12
15
925
934
http://bims.iranjournals.ir/article_248_61bfef788cf33de9b3b6ee9948a43e76.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
Uniqueness of meromorphic functions dealing with multiple values in an angular domain
Wu
Zhaojun
Chen
Yuxian
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
2012
12
15
935
945
http://bims.iranjournals.ir/article_265_c7a4f751f9d2ac1abede02daa6a237ef.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
Uniserial modules of generalized power series
Renyu
Zhao
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
2012
12
15
947
954
http://bims.iranjournals.ir/article_267_7d5809a8364501044da31ce9f9f28849.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
Para-Kahler tangent bundles of constant para-holomorphic sectional curvature
Simona-Luiza
Druta-Romaniuc
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
2012
12
15
955
972
http://bims.iranjournals.ir/article_308_b220cc7c0d3e496afd0a4df3a423d435.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
A generalization of the probability that the commutator of two group elements is equal to a given element
Ahmad
Alghamdi
Francesco G.
Russo
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
2012
12
15
973
986
http://bims.iranjournals.ir/article_303_c20073079049ede5f1ba75c86fa2eb03.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
Fully idempotent and coidempotent modules
Habibollah
Ansari-Toroghy
Faranak
Farshadifar
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
2012
12
15
987
1005
http://bims.iranjournals.ir/article_304_6d9a658da1b800cac3492316784b678d.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
Some difference results on Hayman conjecture and uniqueness
Kai
Liu
Tingbin
Cao
Xinling
Liu
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
2012
12
15
1007
1020
http://bims.iranjournals.ir/article_306_332a41daa98fd9beeb51176a86683aae.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
MRA parseval frame multiwavelets in L^2(R^d)
Liu
Zhanwei
Xiaomin
Mu
Guochang
Wu
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
2012
12
15
1021
1045
http://bims.iranjournals.ir/article_309_01a3168b09b684df64188d271d92cc75.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
Iterative methods for finding nearest common fixed points of a countable family of quasi-Lipschitzian mappings
Weerayuth
Nilsrakoo
Satit
Saejung
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
2012
12
15
1047
1061
http://bims.iranjournals.ir/article_294_985ac6bbba0e6961cfd2afe91f6cd137.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2012
38
4
Smarandache algebras and their subgroups
P
Allen
H.
Kim
J
Neggers
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 $D_p$.
2012
12
15
1063
1077
http://bims.iranjournals.ir/article_408_9aed5a7ca47d5a6c66edeb8918a979c6.pdf