Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 Newton-Product integration for a Two-phase Stefan problem with Kinetics 853 868 269 EN B. ‎Babayar-Razlighi University of Tabriz Karim Ivaz University of Tabriz M. R. Mokhtarzadeh Institute for studies in theoretical physics and mathematics A. N. Badamchizadeh University of Tabriz Journal Article 2009 04 30 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_06138bc5af6023646ede0e1f7c1eac75.pdf

Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 Multiple point of self-transverse immesions of certain manifolds 869 882 292 EN Mohammad Ali Asadi-Golmankhaneh Assistant Prof. Mathematics Department, Urmia University Journal Article 2009 08 27 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_1700002963a49da13542e0726b7bb758.pdf

Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 Entropy operator for continuous dynamical systems of finite topological entropy 883 892 223 EN Mehdi Rahimi Amirkabir University of technology Abdolhamid Riazi Amirkabir University of technology Journal Article 2011 10 09 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_115f89503138416a242f40fb7d7f338e.pdf

Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 On generalized left (alpha, beta)-derivations in rings 893 905 296 EN Mohammad Ashraf Aligarh Muslim University Shakir Ali Aligarh Muslim University Nadeem Ur Rehman Aligarh Muslim University Muzibur Rahman Mozumder Aligarh Muslim University Journal Article 2010 07 03 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_d296c101daa88a51f6ca8cfc1ac79b50.pdf

Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 An automaton group: a computational case study 907 924 312 EN Mohammad Jelodari Mamaghani Professor of mathematics Dept of maths and stats, Allameh tabatabaei univ. Journal Article 2010 10 13 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_950a4152c2b4aa3ad78bdd6b366cc179.pdf

Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 A common fixed point theorem on ordered metric spaces 925 934 248 EN Hemant Kumar Nashine Disha Institute of Management and Technology Ishak Altun Kirikkale University, Faculty of Science and Arts Journal Article 2011 02 16 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_621bf66ddb7c962aa0d22ac97d69b793.pdf

Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 Uniqueness of meromorphic functions dealing with multiple values in an angular domain 935 945 265 EN Wu Zhaojun school of Mathematics and Statistics, Xianning University, Xianning, Hubei, P. R. China, 437100 Chen Yuxian Department of Mathematics, Xinyu University Xinyu, Jiangxi Province, 338000, P. R. China Journal Article 2011 03 17 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_e56954b4f6347e897f954495eab16a88.pdf

Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 Uniserial modules of generalized power series 947 954 267 EN Renyu Zhao Northwest Normal University Journal Article 2011 03 13 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_eda80a3d5b344bc40f3bc04f65b7a357.pdf

Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 Para-Kahler tangent bundles of constant para-holomorphic sectional curvature 955 972 308 EN Simona-Luiza Druta-Romaniuc Department of Sciences, Al. I. Cuza University Journal Article 2010 09 29 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_a8c88a0055f636e4a163a5e3d16adab7.pdf

Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 A generalization of the probability that the commutator of two group elements is equal to a given element 973 986 303 EN Ahmad M. A. Alghamdi Department of Mathematics, University Umm Alqura Francesco G. Russo Department of Mathematics, University of Palermo Journal Article 2011 03 01 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_11b9842e0a271ff252c1903e7132cd68.pdf

Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 Fully idempotent and coidempotent modules 987 1005 304 EN Habibollah Ansari-Toroghy University of Guilan Faranak Farshadifar University of Guilan Journal Article 2011 02 10 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_37bc2f75bf1bcfe8450a1a41c200364c.pdf

Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 Some difference results on Hayman conjecture and uniqueness 1007 1020 306 EN Kai Liu Nanchang university, Department of mathematics Tingbin Cao Nanchang university, Department of mathematics Xinling Liu Nanchang university, Department of mathematics Journal Article 2011 04 06 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_b2eb7349035754953b57a32e2841bda5.pdf

Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 MRA parseval frame multiwavelets in L^2(R^d) 1021 1045 309 EN Liu Zhanwei School of Information Engineering, Zhengzhou University Xiaomin Mu School of Information Engineering, Zhengzhou University Guochang Wu Department of Applied Mathematics, Henan University of Economics and Law Journal Article 2011 03 22 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_eddea82ad2755b24c4e168c5fc2ebd40.pdf

Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 Iterative methods for finding nearest common fixed points of a countable family of quasi-Lipschitzian mappings 1047 1061 294 EN Weerayuth Nilsrakoo Department of Mathematics, Statistics and Computer, Faculty of Science, Ubon Ratchathani University, Ubon Ratchathani 34190, Thailand Satit Saejung Department of Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand Journal Article 2010 08 21 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_6883966fd8f918a4aa29be29d2c386fb.pdf

Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 38 4 2012 12 15 Smarandache algebras and their subgroups 1063 1077 408 EN P Allen University of Alabama H. S. Kim Hanyang University and Research Institute for Natural Sciences J Neggers University of Alabama Journal Article 2009 11 16 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_0d0fd7c6e093f7b804fa0150b875b868.pdf