@article{ author = {Ebadian, A. and EshaghiGordji, M.}, title = {Left Jordan derivations on Banach algebras}, abstract ={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.}, Keywords = {Left Jordan derivation, von Neumann algebra.}, volume = {6}, Number = {1}, pages = {1-6}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.01.001}, url = {http://ijmsi.ir/article-1-189-en.html}, eprint = {http://ijmsi.ir/article-1-189-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} } @article{ author = {Keshavarzi, M. and Dehghan, M. A. and Mashinchi, M.}, title = {Classification based on 3-similarity}, abstract ={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.}, Keywords = {Similarity relations, 3-equivalence relations, 3-similarity, n-similarity, Dissimilarity.}, volume = {6}, Number = {1}, pages = {7-21}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.01.002}, url = {http://ijmsi.ir/article-1-190-en.html}, eprint = {http://ijmsi.ir/article-1-190-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} } @article{ author = {Kheiri, H. and Jabbari, A.}, title = {Homotopy analysis and Homotopy Pad$acute{e}$ methods for two-dimensional coupled Burgers\' equations}, abstract ={In this paper, analytic solutions of two-dimensional coupled Burgers;#39 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.}, Keywords = {Homotopy analysis method, Homotopy Pad$acute{e}$ technique, Two-dimensional coupled Burgers\' equations.}, volume = {6}, Number = {1}, pages = {23-31}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.01.003}, url = {http://ijmsi.ir/article-1-191-en.html}, eprint = {http://ijmsi.ir/article-1-191-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} } @article{ author = {Rastegar, Arash}, title = {Deformation of Outer Representations of Galois Group}, abstract ={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.}, Keywords = {}, volume = {6}, Number = {1}, pages = {33-52}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.01.004}, url = {http://ijmsi.ir/article-1-192-en.html}, eprint = {http://ijmsi.ir/article-1-192-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} } @article{ author = {Akbari, Monireh and Rabii, Maryam}, title = {Hyperbolicity of the family $f_c(x)=c(x-frac{x^3}{3})$}, abstract ={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 $mathbb{R}$.}, Keywords = {Hyperbolicity, Cantor set, Totally disconnected, Schwarzian derivative.}, volume = {6}, Number = {1}, pages = {53-58}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.01.005}, url = {http://ijmsi.ir/article-1-193-en.html}, eprint = {http://ijmsi.ir/article-1-193-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} } @article{ author = {Borzooei, R. A. and Rezaei, G. R. and Kouhestani, N.}, title = {On (Semi)Topological $BL$-algebras}, abstract ={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.}, Keywords = {$BL$-algebra, (semi)topological $BL$-algebra, filter, Hausdorff space, $T_{i}$-spaces.}, volume = {6}, Number = {1}, pages = {59-77}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.01.006}, url = {http://ijmsi.ir/article-1-194-en.html}, eprint = {http://ijmsi.ir/article-1-194-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} } @article{ author = {Broojerdian, N. and Peyghan, E. and Heydari, A.}, title = {Differentiation along Multivector Fields}, abstract ={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.}, Keywords = {Clifford bundle, Dirac operator, Hodge Operator, Multivector field, Spinor bundle.}, volume = {6}, Number = {1}, pages = {79-96}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.01.007}, url = {http://ijmsi.ir/article-1-195-en.html}, eprint = {http://ijmsi.ir/article-1-195-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} } @article{ author = {Afshin, H.R. and Ranjbar, M.A.}, title = {On the Decomposition of Hilbert Spaces}, abstract ={Basic relation between numerical range and Davis-Wielandt shell of an operator $A$ acting on a Hilbert space with orthonormal basis $xi={e_{i}|i in I}$ and its conjugate $bar{A}$ which is introduced in this paper are obtained. The results are used to study the relation between point spectrum, approximate spectrum and residual spectrum of $A$ and $bar{A}$. A necessary and sufficient condition for $A$ to be self-conjugate ($A=bar{A}$) is given using a subgroup of H.}, Keywords = {Numerical range, Davis-Wielandt shell, Spectra, Conjugate of an operator.}, volume = {6}, Number = {2}, pages = {1-7}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.02.001}, url = {http://ijmsi.ir/article-1-232-en.html}, eprint = {http://ijmsi.ir/article-1-232-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} } @article{ author = {Nazari, A.M. and Afshari, E. and OmidiBidgoli, A.}, title = {Properties of Central Symmetric X-Form Matrices}, abstract ={In this paper we introduce a special form of symmetric matrices that is called central symmetric $X$-form matrix and study some properties, the inverse eigenvalue problem and inverse singular value problem for these matrices.}, Keywords = {Inverse eigenvalue problem, Inverse singular value problem, eigenvalue, singular value.}, volume = {6}, Number = {2}, pages = {9-20}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.02.002}, url = {http://ijmsi.ir/article-1-233-en.html}, eprint = {http://ijmsi.ir/article-1-233-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} } @article{ author = {RaisiTousi, R. and KamyabiGol, R.A.}, title = {Shift Invariant Spaces and Shift Preserving Operators on Locally Compact Abelian Groups}, abstract ={We investigate shift invariant subspaces of $L^2(G)$, where $G$ is a locally compact abelian group. We show that every shift invariant space can be decomposed as an orthogonal sum of spaces each of which is generated by a single function whose shifts form a Parseval frame. For a second countable locally compact abelian group $G$ we prove a useful Hilbert space isomorphism, introduce range functions and give a characterization of shift invariant subspaces of $L^2(G)$ in terms of range functions. Finally, we investigate shift preserving operators on locally compact abelian groups. We show that there is a one-to-one correspondence between shift preserving operators and range operators on $L^2(G)$ where $G$ is a locally compact abelian group.}, Keywords = {locally compact abelian group, shift invariant space, frame, range function, shift preserving operator, range operator.}, volume = {6}, Number = {2}, pages = {21-32}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.02.003}, url = {http://ijmsi.ir/article-1-234-en.html}, eprint = {http://ijmsi.ir/article-1-234-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} } @article{ author = {Rastegar, Arash}, title = {Deformation of Outer Representations of Galois Group II}, abstract ={This paper is devoted to deformation theory of "anabelian" representations of the absolute Galois group landing in outer automorphism group of the algebraic fundamental group of a hyperbolic smooth curve defined over a number-field. In the first part of this paper, we obtained several universal deformations for Lie-algebra versions of the above representation using the Schlessinger criteria for functors on Artin local rings. In the second part, we use a version of Schlessinger criteria for functors on the Artinian category of nilpotent Lie algebras which is formulated by Pridham, and explore arithmetic applications.}, Keywords = {Deformation theory, Artin local rings, Schlessinger criteria.}, volume = {6}, Number = {2}, pages = {33-41}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.02.004}, url = {http://ijmsi.ir/article-1-235-en.html}, eprint = {http://ijmsi.ir/article-1-235-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} } @article{ author = {Khalooei, Fatemeh and Salemi, Abbas}, title = {Linear Preservers of Majorization}, abstract ={For vectors $X, Yin mathbb{R}^{n}$, we say $X$ is left matrix majorized by $Y$ and write $X prec_{ell} Y$ if for some row stochastic matrix $R, ~X=RY.$ Also, we write $Xsim_{ell}Y,$ when $Xprec_{ell}Yprec_{ell}X.$ A linear operator $Tcolon mathbb{R}^{p}to mathbb{R}^{n}$ is said to be a linear preserver of a given relation $prec$ if $Xprec Y$ on $mathbb{R}^{p}$ implies that $TXprec TY$ on $mathbb{R}^{n}$. In this note we study linear preservers of $sim_{ell}$ from $mathbb{R}^{p}$ to $mathbb{R}^{n}.$ In particular, we characterize all linear preservers of $sim_{ell}$ from $mathbb{R}^{2}$ to $mathbb{R}^{n},$ and also, all linear preservers of $sim_{ell}$ from $mathbb{R}^{p}$ to $mathbb{R}^{p}.$}, Keywords = {Linear preservers, Row stochastic matrix, Matrix majorization.}, volume = {6}, Number = {2}, pages = {43-50}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.02.005}, url = {http://ijmsi.ir/article-1-236-en.html}, eprint = {http://ijmsi.ir/article-1-236-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} } @article{ author = {Mirebrahimi, Hanieh and Mashayekhy, Behrooz}, title = {On Schur Multipliers of Pairs and Triples of Groups with Topological Approach}, abstract ={In this paper, using a relation between Schur multipliers of pairs and triples of groups, the fundamental group and homology groups of a homotopy pushout of Eilenberg-MacLane spaces, we present among other things some behaviors of Schur multipliers of pairs and triples with respect to free, amalgamated free, and direct products and also direct limits of groups with topological approach.}, Keywords = {Schur multiplier of a pair of groups, Schur multiplier of a triple of groups, Homology group, Homotopy group, Eilenberg-MacLane space, Homotopy pushout.}, volume = {6}, Number = {2}, pages = {51-65}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.02.006}, url = {http://ijmsi.ir/article-1-237-en.html}, eprint = {http://ijmsi.ir/article-1-237-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} } @article{ author = {Fath-Tabar, G.H. and Ashrafi, A.R.}, title = {The Hyper-Wiener Polynomial of Graphs}, abstract ={The distance $d(u,v)$ between two vertices $u$ and $v$ of a graph $G$ is equal to the length of a shortest path that connects $u$ and $v$. Define $WW(G,x) = 1/2sum_{{ a,b } subseteq V(G)}x^{d(a,b) + d^2(a,b)}$, where $d(G)$ is the greatest distance between any two vertices. In this paper the hyper-Wiener polynomials of the Cartesian product, composition, join and disjunction of graphs are computed.}, Keywords = {Hyper-Wiener polynomial, graph operation.}, volume = {6}, Number = {2}, pages = {67-74}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.02.007}, url = {http://ijmsi.ir/article-1-238-en.html}, eprint = {http://ijmsi.ir/article-1-238-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} } @article{ author = {Tehranian, Abolfazl and Maimani, Hamid Rez}, title = {A Study of the Total Graph}, abstract ={Let R be a commutative ring with $Z(R)$ its set of zero-divisors. In this paper, we study the total graph of $R$, denoted by $T(Gamma(R))$. It is the (undirected) graph with all elements of R as vertices, and for distinct $x, yin R$, the vertices $x$ and $y$ are adjacent if and only if $x + yinZ(R)$. We study the chromatic number and edge connectivity of this graph.}, Keywords = {Zero-divisor graph, Total graph.}, volume = {6}, Number = {2}, pages = {75-80}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2011.02.008}, url = {http://ijmsi.ir/article-1-239-en.html}, eprint = {http://ijmsi.ir/article-1-239-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2011} }