Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
01
2014
03
01
On the commuting graph of non-commutative rings of order pnq
1
6
EN
E
Vatandoost
Faculty of Basic Science, Imam Khomeini International University,
Qazvin, Iran.
vatandoost@sci.ikiu.ac.ir
F
Ramezani
Faculty of Basic Science, Imam Khomeini International University,
Qazvin, Iran.
A
Bahraini
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 (R), is a graph with vertex set RnZ(R) and two vertices a and b are adjacent i ab = ba.
In this paper, we consider the commuting graph of non-commutative rings of order pq and p2q
with Z(R) = 0 and non-commutative rings with unity of order p3q. It is proved that CR(a)
is a commutative ring for every 0 ̸= a 2 R n Z(R). Also it is shown that if a; b 2 R n Z(R)
and ab ̸= ba, then CR(a) CR(b) = Z(R). We show that the commuting graph (R) is the
disjoint union of k copies of the complete graph and so is not a connected graph.
Commuting graph,non-commutative ring,non-connected graph,algebraic
graph
http://jlta.iauctb.ac.ir/article_510027.html
http://jlta.iauctb.ac.ir/article_510027_cb6b3d3d3b0ec4787fdfbfa4d5748f33.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
01
2014
03
01
A note on the convergence of the Zakharov-Kuznetsov equation by homotopy analysis method
7
13
EN
A
Fallahzadeh
Department of Mathematics, Islamic Azad University,
Central Tehran Branch, PO. Code 13185.768, Tehran, Iran.
amir falah6@yahoo.com
M. A.
Fariborzi Araghi
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 homo-
topy analysis method (HAM) is investigated. A theorem is proved to guarantee the conver-
gence of HAM and to nd the series solution of this equation via a reliable algorithm.
Homotopy analysis method,Zakharov-Kuznetsov equation,Convergence,partial dierential equation,recursive method
http://jlta.iauctb.ac.ir/article_510028.html
http://jlta.iauctb.ac.ir/article_510028_f710965a2d7e685d68d6328b78dffbc9.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
01
2014
03
01
On the superstability of a special derivation
15
22
EN
M
Hassani
Department of Mathematics, Mashhad Branch, Islamic Azad University,
Mashhad 91735, Iran.
mhassanimath@gmail.com
E
Keyhani
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 (; )-derivation is superstable on standard operator algebras.
Furthermore, we prove that this generalized derivation can be a continuous and an inner
(; )- derivation.
Ring (,)-derivations, Linear (,)-derivations, Stable, Superstable,
Multiplicative (,)-derivations, Multiplicative Derivations
http://jlta.iauctb.ac.ir/article_510029.html
http://jlta.iauctb.ac.ir/article_510029_b8ac6d0e30d57bf0f557dfc20a5710c5.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
01
2014
03
01
Positive solution of non-square fully Fuzzy linear system of equation in general form using least square method
23
33
EN
R
Ezzati
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
ezati@kiau.ac.ir
A
Yousefzadeh
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 m n fully fuzzy linear system (FFLS) of equations, where m > n, based on
Kaman's arithmetic operations on fuzzy numbers that introduced in [18]. First, we consider
all elements of coecient 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 coecient 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 eciency
of the proposed method by solving some numerical examples.
Fuzzy linear system,Fuzzy number,Ranking Function,Fuzzy number vector
solution
http://jlta.iauctb.ac.ir/article_510030.html
http://jlta.iauctb.ac.ir/article_510030_9cb8d80014c45ee5eb59071afc82d36e.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
01
2014
03
01
Expansion methods for solving integral equations with multiple time lags using Bernstein polynomial of the second kind
35
45
EN
M
Paripour
Department of Mathematics, Hamedan University of Technology, Hamedan, 65156-579, Iran.
paripour@hut.ac.ir, paripour@gmail.com
Z
Shojaei
Department of Mathematics, Lorestan University, Khoramabad, Iran.
S
Abdolahi
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.
Integral equation with multiple time lags,Expansion methods,Bernstein
polynomial
http://jlta.iauctb.ac.ir/article_510031.html
http://jlta.iauctb.ac.ir/article_510031_6fe05231854cbbe3f59efc96066862cf.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
01
2014
03
01
Cubic spline Numerov type approach for solution of Helmholtz equation
47
54
EN
J
Rashidinia
Department of Mathematics,College of basic science, Islamic Azad University, Alborz, Iran.
j.rashidinia@iust.ac.ir
H. S.
Shekarabi
Department of Mathematics,College of basic science, Islamic Azad University, Alborz, Iran.
M
Aghamohamadi
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 nite dierence in time directions. The approach
has been modied to drive Numerov type nite dierence 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 eciency of the method.
Cubic spline,Finite dierence,Numerov type,Stability,Helmholtz equation
http://jlta.iauctb.ac.ir/article_510032.html
http://jlta.iauctb.ac.ir/article_510032_d5dc22669a6b47d6fba42687de484cbd.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
01
2014
03
01
Generalized f-clean rings
55
60
EN
S
Jamshidvand
Department of Mathematics, Shahed University, Tehran, Iran.
jamshidvand1367@gmail.com
H
Haj Seyyed Javadi
Department of Mathematics, Shahed University, Tehran, Iran.
N
Vahedian Javaheri
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 Mn(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.
Full element,clean ring,n-clean ring,n-f-clean ring
http://jlta.iauctb.ac.ir/article_510033.html
http://jlta.iauctb.ac.ir/article_510033_a060ec3182b9eeff8aa51f0917440e1c.pdf