Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201030120140810On the commuting graph of non-commutative rings of order $p^nq$16510027ENE.VatandoostFaculty of Basic Science, Imam Khomeini International University,
Qazvin, IranF.RamezaniFaculty of Basic Science, Imam Khomeini International University,
Qazvin, IranA.BahrainiDepartment of Mathematics, Islamic Azad University, Central Tehran Branch,
Tehran, IranJournal Article20140517Let $R$ be a non-commutative ring with unity. The commuting graph of $R$ denoted by $Gamma(R)$, is a graph with vertex set $RZ(R)$ and two vertices $a$ and $b$ are adjacent iff $ab=ba$. In this paper, we consider the commuting graph of non-commutative rings of order pq and $p^2q$ with Z(R) = 0 and non-commutative rings with unity of order $p^3q$. It is proved that $C_R(a)$ is a commutative ring for every $0neq a in RZ(R)$. Also it is shown that if $a,bin RZ(R)$ and $abneq ba$, then $C_R(a)cap C_R(b)= Z(R)$. We show that the commuting graph $Gamma(R)$ is the disjoint union of $k$ copies of the complete graph and so is not a connected graph.http://jlta.iauctb.ac.ir/article_510027_cb6b3d3d3b0ec4787fdfbfa4d5748f33.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201030120140301A note on the convergence of the Zakharov-Kuznetsov equation by homotopy analysis method713510028ENA.FallahzadehDepartment of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 13185.768, Tehran, IranM. A.Fariborzi AraghiDepartment of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 13185.768, Tehran, IranJournal Article20140521In this paper, the convergence of Zakharov-Kuznetsov (ZK) equation by homotopy analysis method (HAM) is investigated. A theorem is proved to guarantee the convergence of HAM and to nd the series solution of this equation via a reliable algorithm.http://jlta.iauctb.ac.ir/article_510028_f710965a2d7e685d68d6328b78dffbc9.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201030120140301On the superstability of a special derivation1522510029ENM.HassaniDepartment of Mathematics, Mashhad Branch, Islamic Azad University,
Mashhad 91735, Iran0000-0003-4665-5937E.KeyhaniDepartment of Mathematics, Mashhad Branch, Islamic Azad University,
Mashhad 91735, IranJournal Article20140514The aim of this paper is to show that under some mild conditions a functional equation of multiplicative $(alpha,beta)$-derivation is superstable on standard operator algebras. Furthermore, we prove that this generalized derivation can be a continuous and an inner $(alpha,beta)$-derivation.http://jlta.iauctb.ac.ir/article_510029_b8ac6d0e30d57bf0f557dfc20a5710c5.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201030120140301Positive solution of non-square fully Fuzzy linear system of equation in general form using least square method2333510030ENR.EzzatiDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranA.YousefzadehDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranJournal Article20140530In this paper, we propose the least-squares method for computing the positive solution of a $mtimes n$ fully fuzzy linear system (FFLS) of equations, where $m > n$, based on Kaffman's arithmetic operations on fuzzy numbers that introduced in [18]. First, we consider all elements of coefficient matrix are non-negative or non-positive. Also, we obtain 1-cut of the fuzzy number vector solution of the non-square FFLS of equations by using pseudoinverse. If 1-cuts vector is non-negative, we solve constrained least squares problem for computing left and right spreads. Then, in the special case, we consider 0 is belong to the support of some elements of coefficient matrix and solve three overdetermined linear systems and if the solutions of these systems held in non-negative fuzzy solutions then we compute the solution of the non-square FFLS of equations. Else, we solve constrained least squares problem for obtaining an approximated non-negative fuzzy solution. Finally, we illustrate the efficiency of the proposed method by solving some numerical examples.http://jlta.iauctb.ac.ir/article_510030_9cb8d80014c45ee5eb59071afc82d36e.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201030120140301Expansion methods for solving integral equations with multiple time lags using Bernstein polynomial of the second kind3545510031ENM.ParipourDepartment of Mathematics, Hamedan University of Technology, Hamedan, 65156-579, IranZ.ShojaeiDepartment of Mathematics, Lorestan University, Khoramabad, IranS.AbdolahiDepartment of Mathematics, Arak Branch, Islamic Azad University, Arak, IranJournal Article20150526In this paper, the Bernstein polynomials are used to approximate the solutions of linear integral equations with multiple time lags (IEMTL) through expansion methods (collocation method, partition method, Galerkin method). The method is discussed in detail and illustrated by solving some numerical examples. Comparison between the exact and approximated results obtained from these methods is carried out.http://jlta.iauctb.ac.ir/article_510031_6fe05231854cbbe3f59efc96066862cf.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201030120140901Cubic spline Numerov type approach for solution of Helmholtz equation4754510032ENJ.RashidiniaDepartment of Mathematics,College of basic science, Islamic Azad University, Alborz, IranH. S.ShekarabiDepartment of Mathematics,College of basic science, Islamic Azad University, Alborz, IranM.AghamohamadiDepartment of Mathematics,College of basic science, Islamic Azad University, Alborz, IranJournal Article20140514We have developed a three level implicit method for solution of the Helmholtz equation. Using the cubic spline in space and finite difference in time directions. The approach has been modied to drive Numerov type nite difference method. The method yield the tri-diagonal linear system of algebraic equations which can be solved by using a tri-diagonal solver. Stability and error estimation of the presented method are analyzed. The obtained results satised the ability and effciency of the method.http://jlta.iauctb.ac.ir/article_510032_d5dc22669a6b47d6fba42687de484cbd.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201030120140901Generalized f-clean rings5560510033ENS.JamshidvandDepartment of Mathematics, Shahed University, Tehran, IranH.Haj Seyyed JavadiDepartment of Mathematics, Shahed University, Tehran, IranN.Vahedian JavaheriDepartment of Mathematics, Shahed University, Tehran, IranJournal Article20140509In this paper, we introduce the new notion of n-f-clean rings as a generalization of f-clean rings. Next, we investigate some properties of such rings. We prove that $M_n(R)$ is n-f-clean for any n-f-clean ring R. We also, get a condition under which the denitions of n-cleanness and n-f-cleanness are equivalent.http://jlta.iauctb.ac.ir/article_510033_a060ec3182b9eeff8aa51f0917440e1c.pdf