2018-02-19T08:15:55Z
http://jlta.iauctb.ac.ir/?_action=export&rf=summon&issue=110008
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2014
03
01
On the commuting graph of non-commutative rings of order $p^nq$
E.
Vatandoost
F.
Ramezani
A.
Bahraini
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.
Commuting graph
non-commutative ring
non-connected graph
algebraic graph
2014
08
10
1
6
http://jlta.iauctb.ac.ir/article_510027_cb6b3d3d3b0ec4787fdfbfa4d5748f33.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2014
03
01
A note on the convergence of the Zakharov-Kuznetsov equation by homotopy analysis method
A.
Fallahzadeh
M. A.
Fariborzi Araghi
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.
Homotopy analysis method
Zakharov-Kuznetsov equation
Convergence
partial differential equation
recursive method
2014
03
01
7
13
http://jlta.iauctb.ac.ir/article_510028_f710965a2d7e685d68d6328b78dffbc9.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2014
03
01
On the superstability of a special derivation
M.
Hassani
E.
Keyhani
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.
Ring $(alpha,beta)$
Linear $(alpha,beta)$-derivations
Stable
Superstable
Multiplicative $(alpha,beta)$-derivations
Multiplicative Derivations
2014
03
01
15
22
http://jlta.iauctb.ac.ir/article_510029_b8ac6d0e30d57bf0f557dfc20a5710c5.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2014
03
01
Positive solution of non-square fully Fuzzy linear system of equation in general form using least square method
R.
Ezzati
A.
Yousefzadeh
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.
Fuzzy linear system
Fuzzy number
Ranking Function
Fuzzy number vector solution
2014
03
01
23
33
http://jlta.iauctb.ac.ir/article_510030_9cb8d80014c45ee5eb59071afc82d36e.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2014
03
01
Expansion methods for solving integral equations with multiple time lags using Bernstein polynomial of the second kind
M.
Paripour
Z.
Shojaei
S.
Abdolahi
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
2014
03
01
35
45
http://jlta.iauctb.ac.ir/article_510031_6fe05231854cbbe3f59efc96066862cf.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2014
03
01
Cubic spline Numerov type approach for solution of Helmholtz equation
J.
Rashidinia
H. S.
Shekarabi
M.
Aghamohamadi
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.
Cubic spline
Finite difference
Numerov type
Stability
Helmholtz equation
2014
09
01
47
54
http://jlta.iauctb.ac.ir/article_510032_d5dc22669a6b47d6fba42687de484cbd.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2014
03
01
Generalized f-clean rings
S.
Jamshidvand
H.
Haj Seyyed Javadi
N.
Vahedian Javaheri
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.
Full element
clean ring
n-clean ring
n-f-clean ring
2014
09
01
55
60
http://jlta.iauctb.ac.ir/article_510033_a060ec3182b9eeff8aa51f0917440e1c.pdf