@Article{Vatandoost2014,
author="Vatandoost, E.
and Ramezani, F.
and Bahraini, A.",
title="On the commuting graph of non-commutative rings of order $p^nq$",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2014",
volume="03",
number="01",
pages="1-6",
abstract="Let $R$ be a non-commutative ring with unity. The commuting graph of $R$ denoted by $\Gamma(R)$, is a graph with vertex set $R\Z(R)$ 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 $0\neq a \in R\Z(R)$. Also it is shown that if $a,b\in R\Z(R)$ and $ab\neq ba$, 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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510027.html"
}
@Article{Fallahzadeh2014,
author="Fallahzadeh, A.
and Fariborzi Araghi, M. A.",
title="A note on the convergence of the Zakharov-Kuznetsov equation by homotopy analysis method",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2014",
volume="03",
number="01",
pages="7-13",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510028.html"
}
@Article{Hassani2014,
author="Hassani, M.
and Keyhani, E.",
title="On the superstability of a special derivation",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2014",
volume="03",
number="01",
pages="15-22",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510029.html"
}
@Article{Ezzati2014,
author="Ezzati, R.
and Yousefzadeh, A.",
title="Positive solution of non-square fully Fuzzy linear system of equation in general form using least square method",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2014",
volume="03",
number="01",
pages="23-33",
abstract="In this paper, we propose the least-squares method for computing the positive solution of a $m\times n$ 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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510030.html"
}
@Article{Paripour2014,
author="Paripour, M.
and Shojaei, Z.
and Abdolahi, S.",
title="Expansion methods for solving integral equations with multiple time lags using Bernstein polynomial of the second kind",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2014",
volume="03",
number="01",
pages="35-45",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510031.html"
}
@Article{Rashidinia2014,
author="Rashidinia, J.
and Shekarabi, H. S.
and Aghamohamadi, M.",
title="Cubic spline Numerov type approach for solution of Helmholtz equation",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2014",
volume="03",
number="01",
pages="47-54",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510032.html"
}
@Article{Jamshidvand2014,
author="Jamshidvand, S.
and Haj Seyyed Javadi, H.
and Vahedian Javaheri, N.",
title="Generalized f-clean rings",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2014",
volume="03",
number="01",
pages="55-60",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510033.html"
}