eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-08-10
03
01
1
6
510027
On the commuting graph of non-commutative rings of order $p^nq$
E. Vatandoost
vatandoost@sci.ikiu.ac.ir
1
F. Ramezani
2
A. Bahraini
3
Faculty of Basic Science, Imam Khomeini International University, Qazvin, Iran
Faculty of Basic Science, Imam Khomeini International University, Qazvin, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Let $R$ 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.pdf
Commuting graph
non-commutative ring
non-connected graph
algebraic graph
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-03-01
03
01
7
13
510028
A note on the convergence of the Zakharov-Kuznetsov equation by homotopy analysis method
A. Fallahzadeh
1
M. A. Fariborzi Araghi
2
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 13185.768, Tehran, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 13185.768, Tehran, Iran
In 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.pdf
Homotopy analysis method
Zakharov-Kuznetsov equation
Convergence
partial differential equation
recursive method
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-03-01
03
01
15
22
510029
On the superstability of a special derivation
M. Hassani
mhassanimath@gmail.com
1
E. Keyhani
2
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad 91735, Iran
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad 91735, Iran
The 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.pdf
Ring $(alpha,beta)$
Linear $(alpha,beta)$-derivations
Stable
Superstable
Multiplicative $(alpha,beta)$-derivations
Multiplicative Derivations
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-03-01
03
01
23
33
510030
Positive solution of non-square fully Fuzzy linear system of equation in general form using least square method
R. Ezzati
ezati@kiau.ac.ir
1
A. Yousefzadeh
2
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
In 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.pdf
Fuzzy linear system
Fuzzy number
Ranking Function
Fuzzy number vector solution
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-03-01
03
01
35
45
510031
Expansion methods for solving integral equations with multiple time lags using Bernstein polynomial of the second kind
M. Paripour
1
Z. Shojaei
2
S. Abdolahi
3
Department of Mathematics, Hamedan University of Technology, Hamedan, 65156-579, Iran
Department of Mathematics, Lorestan University, Khoramabad, Iran
Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran
In 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.pdf
Integral equation with multiple time lags
Expansion methods
Bernstein polynomial
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-09-01
03
01
47
54
510032
Cubic spline Numerov type approach for solution of Helmholtz equation
J. Rashidinia
j.rashidinia@iust.ac.ir
1
H. S. Shekarabi
2
M. Aghamohamadi
3
Department of Mathematics,College of basic science, Islamic Azad University, Alborz, Iran
Department of Mathematics,College of basic science, Islamic Azad University, Alborz, Iran
Department of Mathematics,College of basic science, Islamic Azad University, Alborz, Iran
We 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.pdf
Cubic spline
Finite difference
Numerov type
Stability
Helmholtz equation
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-09-01
03
01
55
60
510033
Generalized f-clean rings
S. Jamshidvand
jamshidvand1367@gmail.com
1
H. Haj Seyyed Javadi
2
N. Vahedian Javaheri
3
Department of Mathematics, Shahed University, Tehran, Iran
Department of Mathematics, Shahed University, Tehran, Iran
Department of Mathematics, Shahed University, Tehran, Iran
In 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
Full element
clean ring
n-clean ring
n-f-clean ring