##### 1. Weak amenability of (2N)-th dual of a Banach algebra

M. Ettefagh; S. Houdfar

Volume 01, Issue 02 , Spring 2012, 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.  Read More

##### 2. A note on uniquely (nil) clean ring

Sh. Sahebi; M. Jahandar

Volume 01, Issue 02 , Spring 2012, 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 ...  Read More

##### 3. A mathematically simple method based on de nition for computing eigenvalues, generalized eigenvalues and quadratic eigenvalues of matrices

Volume 01, Issue 02 , Spring 2012, Pages 71-81

##### Abstract
In this paper, a fundamentally new method, based on the de nition, 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 ...  Read More

##### 4. Numerical Solution of Heun Equation Via Linear Stochastic Differential Equation

H. R. Rezazadeh; M. Maghasedi; B. shojaee

Volume 01, Issue 02 , Spring 2012, 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 ...  Read More

##### 5. A New Inexact Inverse Subspace Iteration for Generalized Eigenvalue Problems

Volume 01, Issue 02 , Spring 2012, 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 ...  Read More

##### 6. Module-Amenability on Module Extension Banach Algebras

D. Ebrahimi bagha

Volume 01, Issue 02 , Spring 2012, 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 ...  Read More

##### 7. E-Clean Matrices and Unit-Regular Matrices

Sh. A. Safari Sabet; S. Razaghi

Volume 01, Issue 02 , Spring 2012, 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.  Read More

##### 8. Recognition of the group $G_2(5)$ by the prime graph

P. Nosratpour; M. R. Darafsheh

Volume 01, Issue 02 , Spring 2012, 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 $\Gamma(G)=\Gamma(G_2(5))$, ...  Read More