@Article{Ettefagh2012,
author="Ettefagh, M.
and Houdfar, S.",
title="Weak amenability of (2N)-th dual of a Banach algebra",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2012",
volume="01",
number="02",
pages="55-65",
abstract="In this paper by using some conditions, we show that the weak amenability of (2n)-th dual of a Banach algebra A for some $n\geq 1$ implies the weak amenability of A.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510112.html"
}
@Article{Sahebi2012,
author="Sahebi, Sh.
and Jahandar, M.",
title="A note on uniquely (nil) clean ring",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2012",
volume="01",
number="02",
pages="67-69",
abstract="A ring R is uniquely (nil) clean in case for any $a \in R$ there exists a uniquely idempotent $e\in R$ such that $a-e$ is invertible (nilpotent). Let $C =(A V W B)$ be the Morita Context ring. We determine conditions under which the rings $A,B$ are uniquely (nil) clean. Moreover we show that the center of a uniquely (nil) clean ring is uniquely (nil) clean.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510113.html"
}
@Article{NiliAhmadabadi2012,
author="Nili Ahmadabadi, M.",
title="A mathematically simple method based on denition for computing eigenvalues, generalized eigenvalues and quadratic eigenvalues of matrices",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2012",
volume="01",
number="02",
pages="71-81",
abstract="In this paper, a fundamentally new method, based on the denition, is introduced for numerical computation of eigenvalues, generalized eigenvalues and quadratic eigenvalues of matrices. Some examples are provided to show the accuracy and reliability of the proposed method. It is shown that the proposed method gives other sequences than that of existing methods but they still are convergent to the desired eigenvalues, generalized eigenvalues and quadratic eigenvalues of matrices. These examples show an interesting phenomenon in the procedure: The diagonal matrix that converges to eigenvalues gives them in decreasing order in the sense of absolute value. Appendices A to C provide Matlab codes that implement the proposed algorithms. They show that the proposed algorithms are very easy to program.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510114.html"
}
@Article{Rezazadeh2012,
author="Rezazadeh, H. R.
and Maghasedi, M.
and shojaee, B.",
title="Numerical Solution of Heun Equation Via Linear Stochastic Differential Equation",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2012",
volume="01",
number="02",
pages="83-95",
abstract="In this paper, we intend to solve special kind of ordinary differential equations which is called Heun equations, by converting to a corresponding stochastic differential equation(S.D.E.). So, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this S.D.E. is solved by numerically methods. Moreover, its asymptotic stability and statistical concepts like expectation and variance of solutions are discussed. Finally, the attained solutions of these S.D.E.s compared with exact solution of corresponding differential equations.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510120.html"
}
@Article{Amirfakhrian2012,
author="Amirfakhrian, M.
and Mohammad, F.",
title="A New Inexact Inverse Subspace Iteration for Generalized Eigenvalue Problems",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2012",
volume="01",
number="02",
pages="97-113",
abstract="In this paper, we represent an inexact inverse subspace iteration method for computing a few eigenpairs of the generalized eigenvalue problem Ax = Bx [Q. Ye and P. Zhang, Inexact inverse subspace iteration for generalized eigenvalue problems, Linear Algebra and its Application, 434 (2011) 1697-1715 ]. In particular, the linear convergence property of the inverse subspace iteration is preserved.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510116.html"
}
@Article{Ebrahimibagha2012,
author="Ebrahimi bagha, D.",
title="Module-Amenability on Module Extension Banach Algebras",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2012",
volume="01",
number="02",
pages="111-114",
abstract="Let $A$ be a Banach algebra and $E$ be a Banach $A$-bimodule then $S = A \oplus E$, the $l^1$-direct sum of $A$ and $E$ becomes a module extension Banach algebra when equipped with the algebras product $(a,x).(a^\prime,x^\prime)= (aa^\prime, a.x^\prime+ x.a^\prime)$. In this paper, we investigate $\triangle$-amenability for these Banach algebras and we show that for discrete inverse semigroup $S$ with the set of idempotents $E_S$, the module extension Banach algebra $S=l^1(E_S)\oplus l^1(S)$ is $\triangle$-amenable as a $l^1(E_S)$-module if and only if $l^1(E_S)$ is amenable as Banach algebra.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510118.html"
}
@Article{SafariSabet2012,
author="Safari Sabet, Sh. A.
and Razaghi, S.",
title="E-Clean Matrices and Unit-Regular Matrices",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2012",
volume="01",
number="02",
pages="115-118",
abstract="Let $a, b, k,\in K$ and $u, v \in U(K)$. We show for any idempotent $e\in K$, $(a 0|b 0)$ is e-clean iff $(a 0|u(vb + ka) 0)$ is e-clean and if $(a 0|b 0)$ is 0-clean, $(ua 0|u(vb + ka) 0)$ is too.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510119.html"
}
@Article{Nosratpour2012,
author="Nosratpour, P.
and Darafsheh, M. R.",
title="Recognition of the group $G_2(5)$ by the prime graph",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2012",
volume="01",
number="02",
pages="115-120",
abstract="Let $G$ be a finite group. The prime graph of $G$ is a graph $\Gamma(G)$ with vertex set $\pi(G)$, the set of all prime divisors of $|G|$, and two distinct vertices $p$ and $q$ are adjacent by an edge if $G$ has an element of order $pq$. In this paper we prove that if $\Gamma(G)=\Gamma(G_2(5))$, then $G$ has a normal subgroup $N$ such that $\pi(N)\subseteq\{2,3,5\}$ and $G/N\equiv G_2(5)$.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510117.html"
}