Iranian Journal of Mathematical Sciences and Informatics
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Iranian Journal of Mathematical Sciences and Informatics - Journal articles for year 2011, Volume 6, Number 1Yektaweb Collection - http://www.yektaweb.comen2011/5/11Left Jordan derivations on Banach algebras
http://ijmsi.ir/browse.php?a_id=189&sid=1&slc_lang=en
<p>In this paper we characterize the left Jordan derivations on Banach algebras. Also, it is shown that every bounded linear map $d:mathcal Ato mathcal M$ from a von Neumann algebra $mathcal A$ into a Banach $mathcal A-$module $mathcal M$ with property that $d(p^2)=2pd(p)$ for every projection $p$ in $mathcal A$ is a left Jordan derivation.</p>
A. EbadianClassification based on 3-similarity
http://ijmsi.ir/browse.php?a_id=190&sid=1&slc_lang=en
<p>Similarity concept, finding the resemblance or classifying some groups of objects and study their common properties has been the interest of many researchers. Basically, in the studies the similarity between two objects or phenomena, 2-similarity in our words, has been discussed. In this paper, we consider the case when the resemblance or similarity among three objects or phenomena of a set, 3-similarity in our terminology, is desired. After defining 3-equivalence relation and 3-similarity, some common and different points between them are investigated. We will see that in some special cases we can reach from 3-similarity to 2-similarity.</p>
M. KeshavarziHomotopy analysis and Homotopy Pad$acute{e}$ methods for two-dimensional coupled Burgers' equations
http://ijmsi.ir/browse.php?a_id=191&sid=1&slc_lang=en
<p>In this paper, analytic solutions of two-dimensional coupled Burgers' equations are obtained by the Homotopy analysis and the Homotopy Pad$acute{e}$ methods. The obtained approximation by using Homotopy method contains an auxiliary parameter which is a simple way to control and adjust the convergence region and rate of solution series. The approximation solutions by $[m,m]$ Homotopy Pad$acute{e}$ technique is often independent of auxiliary parameter $hbar$ and this technique accelerate the convergence of the related series.</p>
H. KheiriDeformation of Outer Representations of Galois Group
http://ijmsi.ir/browse.php?a_id=192&sid=1&slc_lang=en
<p>To a hyperbolic smooth curve defined over a number-field one naturally associates an "anabelian" representation of the absolute Galois group of the base field landing in outer automorphism group of the algebraic fundamental group. In this paper, we introduce several deformation problems for Lie-algebra versions of the above representation and show that, this way we get a richer structure than those coming from deformations of "abelian" Galois representations induced by the Tate module of associated Jacobian variety. We develop an arithmetic deformation theory of graded Lie algebras with finite dimensional graded components to serve our purpose.</p>
Arash RastegarHyperbolicity of the family $f_c(x)=c(x-frac{x^3}{3})$
http://ijmsi.ir/browse.php?a_id=193&sid=1&slc_lang=en
<p>The aim of this paper is to present a proof of the hyperbolicity of the family $f_c(x)=c(x-frac{x^3}{3}), |c|>3$, on an its invariant subset of $mathbb{R}$.</p>
Monireh AkbariOn (Semi)Topological $BL$-algebras
http://ijmsi.ir/browse.php?a_id=194&sid=1&slc_lang=en
<p>In last ten years many mathematicians have studied properties of BL-algebras endowed with a topology. For example A. Di Nola and L. Leustean cite{dn} studied compact representations of BL-algebras, L. C. Ciungu cite{ciu} investigated some concepts of convergence in the class of perfect BL-algebras, J. Mi Ko and Y. C. Kim cite{jun} studied relationships between closure operators and BL-algebras, M.Haveshki, E. Eslami and A. Broumand Saeid cite{hav} applied filters to construct a topology on BL-algebras.In this paper we define semitopological and topological $BL$-algebras and derive here conditions that imply a $BL$-algebra to be a semitopological or topological $BL$-algebra.</p>
R. A. BorzooeiDifferentiation along Multivector Fields
http://ijmsi.ir/browse.php?a_id=195&sid=1&slc_lang=en
<p>The Lie derivation of multivector fields along multivector fields has been introduced by Schouten (see cite{Sc, S}), and studdied for example in cite{M} and cite{I}. In the present paper we define the Lie derivation of differential forms along multivector fields, and we extend this concept to covariant derivation on tangent bundles and vector bundles, and find natural relations between them and other familiar concepts. Also in spinor bundles, we introduce a covariant derivation along multivector fields and call it the Clifford covariant derivation of that spinor bundle, which is related to its structure and has a natural relation to its Dirac operator.</p>
N. Broojerdian