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 <br />nonlinear <br /> Volterra integral equations of second kind and apply <br />Newton's method to linearize it. We found product integration <br />solution of the linear form. Sufficient conditions for convergence <br />of the numerical method are given and their applicability is <br />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 <br />certain self-transverse immersions in Euclidean spaces. Following <br />the triple points, these immersions have a double point <br />self-intersection set which is the image of an immersion of a smooth <br />5-dimensional manifold, cobordant to Dold manifold \$V^5\$ or a <br />boundary. We will show there is an immersion of \$S^7times P^2\$ in <br />\$mathbb{R}^{13}\$ with double point manifold cobordant to Dold <br />manifold \$V^5\$, and an immersion of \$P^2times P^2times P^2times <br />P^2times P^2\$ in \$mathbb{R}^{15}\$ with double point manifold a <br />boundary and the triple point set is odd number. These will be done <br />by introducing the product technique and reading off the <br />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 <br />group \$G\$ which is generated by a two state automaton on a three <br />letter alphabet. Using its branch structure and the finiteness <br />nature of a sequence of its factor groups we compute the order of <br />some of these factors. Furthermore some algebraic properties of \$G\$ <br />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- <br />dental meromorphic function with shared values in an angular domain dealing with <br />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 <br />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 <br />\$f(z)\$, the function of the form \$f(z)^{n}[f(z+c)-f(z)]^{s}\$ has no <br />nonzero finite Picard exceptional value for all nonnegative integers <br />\$n, s\$ satisfying \$ngeq 3\$, which can be viewed as a different <br />result on Hayman conjecture. We also obtain some <br />uniqueness theorems for difference polynomials of entire functions <br />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 <br />Halpern's type iteration for approximating a common fixed point of a <br />countable family of quasi-Lipschitzian mappings in a real Hilbert <br />space. Consequently, we apply our results to the problem of finding <br />a common fixed point of asymptotically nonexpansive mappings, an <br />equilibrium problem, and a variational inequality problem for <br />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<br /> that every finite group can be found in some S algebra.  We<br /> define and study the S degree of a finite group and determine<br /> the S degree of several classes of finite groups such as cyclic<br /> 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