Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215Newton-Product integration for a Two-phase Stefan problem with Kinetics853868269ENB. Babayar-RazlighiUniversity of TabrizKarim IvazUniversity of TabrizM. R.MokhtarzadehInstitute for
studies in
theoretical physics and mathematicsA. N.BadamchizadehUniversity of TabrizJournal Article20090430We 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.http://bims.iranjournals.ir/article_269_d77a723b16e1070e635dd7aabf3cbdec.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215Multiple point of self-transverse immesions of certain manifolds869882292ENMohammad Ali Asadi-GolmankhanehAssistant Prof. Mathematics Department, Urmia UniversityJournal Article20090827In 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.http://bims.iranjournals.ir/article_292_f640c8c7d63984f075314fc293f12751.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215Entropy operator for continuous dynamical systems of finite topological entropy883892223ENMehdi RahimiAmirkabir University of technologyAbdolhamid RiaziAmirkabir University of technologyJournal Article20111009In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215On generalized left (alpha, beta)-derivations in rings893905296ENMohammad AshrafAligarh Muslim UniversityShakir AliAligarh Muslim UniversityNadeem urRehmanAligarh Muslim UniversityMuzibur RahmanMozumderAligarh Muslim UniversityJournal Article20100703Let $R$ 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215An automaton group: a computational case study907924312ENMohammad Jelodari MamaghaniProfessor of mathematics Dept of maths and stats, Allameh tabatabaei univ.Journal Article20101013We 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 .http://bims.iranjournals.ir/article_312_875ffba1c361564addaaeccfb6b42113.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215A common fixed point theorem on ordered metric spaces925934248ENHemant KumarNashineDisha Institute of Management and TechnologyIshak AltunKirikkale University, Faculty of Science and ArtsJournal Article20110216A 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215Uniqueness of meromorphic functions dealing with multiple values in an angular domain935945265ENWu Zhaojunschool of Mathematics and
Statistics, Xianning University, Xianning, Hubei,
P. R. China, 437100Chen YuxianDepartment of Mathematics, Xinyu University Xinyu, Jiangxi Province, 338000, P. R.
ChinaJournal Article20110317This 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.http://bims.iranjournals.ir/article_265_c7a4f751f9d2ac1abede02daa6a237ef.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215Uniserial modules of generalized power series947954267ENRenyu ZhaoNorthwest Normal UniversityJournal Article20110313Let 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.http://bims.iranjournals.ir/article_267_7d5809a8364501044da31ce9f9f28849.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215Para-Kahler tangent bundles of constant para-holomorphic sectional curvature955972308ENSimona-Luiza Druta-RomaniucDepartment of Sciences, Al. I. Cuza UniversityJournal Article20100929We 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215A generalization of the probability that the commutator of two group elements is equal to a given element973986303ENAhmad M. A.AlghamdiDepartment of Mathematics, University Umm AlquraFrancesco G. RussoDepartment of Mathematics, University of PalermoJournal Article20110301The 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215Fully idempotent and coidempotent modules9871005304ENHabibollah Ansari-ToroghyUniversity of GuilanFaranak FarshadifarUniversity of GuilanJournal Article20110210In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215Some difference results on Hayman conjecture and uniqueness10071020306ENKai LiuNanchang university, Department of mathematicsTingbin CaoNanchang university, Department of mathematicsXinling LiuNanchang university, Department of mathematicsJournal Article20110406In 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.http://bims.iranjournals.ir/article_306_332a41daa98fd9beeb51176a86683aae.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215MRA parseval frame multiwavelets in L^2(R^d)10211045309ENLiu ZhanweiSchool of Information Engineering, Zhengzhou UniversityXiaomin MuSchool of Information Engineering, Zhengzhou UniversityGuochang WuDepartment of Applied
Mathematics, Henan
University of Economics and LawJournal Article20110322In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215Iterative methods for finding nearest common fixed points of a countable family of quasi-Lipschitzian mappings10471061294ENWeerayuth NilsrakooDepartment of Mathematics, Statistics and Computer,
Faculty of Science, Ubon Ratchathani University, Ubon Ratchathani
34190, ThailandSatit SaejungDepartment of
Mathematics, Khon Kaen University, Khon Kaen 40002, ThailandJournal Article20100821We 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.http://bims.iranjournals.ir/article_294_985ac6bbba0e6961cfd2afe91f6cd137.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38420121215Smarandache algebras and their subgroups10631077408ENP AllenUniversity of AlabamaH. S.KimHanyang University and Research Institute for Natural SciencesJ NeggersUniversity of AlabamaJournal Article20091116In 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_9aed5a7ca47d5a6c66edeb8918a979c6.pdf