**Volume 09 (2020)**

**Volume 08 (2019)**

**Volume 07 (2018)**

**Volume 06 (2017)**

**Volume 05 (2016)**

**Volume 04 (2015)**

**Volume 03 (2014)**

**Volume 02 (2013)**

**Volume 01 (2012)**

##### 1. Derivations in semiprime rings and Banach algebras

*Volume 02, Issue 03 , Summer 2013, Pages 129-135*

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**Abstract **

Let $R$ be a 2-torsion free semiprime ring with extended centroid $C$, $U$ the Utumi quotient ring of $R$ and $m,n>0$ are fixed integers. We show that if $R$ admits derivation $d$ such that $b[[d(x), x]_n,[y,d(y)]_m]=0$ for all $x,y\in R$ where $0\neq b\in R$, then there exists a central idempotent ...
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##### 2. Some results of semilocally simply connected property

*Volume 02, Issue 03 , Summer 2013, Pages 137-143*

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**Abstract **

If we consider some special conditions, we can assume fundamental group of a topological space as a new topological space. In this paper, we will present a number of theorems in topological fundamental group related to semilocally simply connected property for a topological space.
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##### 3. A generalization of Bertrand's test

*Volume 02, Issue 03 , Summer 2013, Pages 145-151*

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**Abstract **

One of the most practical routine tests for convergence of a positive series makes use of the ratio test. If this test fails, we can use Rabbe's test. When Rabbe's test fails the next sharper criteria which may sometimes be used is the Bertrand's test. If this test fails, we can use a generalization ...
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##### 4. On the Finite Groupoid G(n)

*Volume 02, Issue 03 , Summer 2013, Pages 153-159*

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**Abstract **

In this paper we study the existence of commuting regular elements, verifying the notion left (right) commuting regular elements and its properties in the groupoid G(n). Also we show that G(n) contains commuting regular subsemigroup and give a necessary and sufficient condition for the groupoid G(n) ...
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##### 5. OD-characterization of $S_4(4)$ and its group of automorphisms

*Volume 02, Issue 03 , Summer 2013, Pages 161-166*

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**Abstract **

Let $G$ be a finite group and $\pi(G)$ be the set of all prime divisors of $|G|$. The prime graph of $G$ is a simple graph $\Gamma(G)$ with vertex set $\pi(G)$ and two distinct vertices $p$ and $q$ in $\pi(G)$ are adjacent by an edge if an only if $G$ has an element of order $pq$. In this case, ...
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##### 6. On the nonnegative inverse eigenvalue problem of traditional matrices

*Volume 02, Issue 03 , Summer 2013, Pages 167-174*

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**Abstract **

In this paper, at first for a given set of real or complex numbers $\sigma$ with nonnegative summation, we introduce some special conditions that with them there is no nonnegative tridiagonal matrix in which $\sigma$ is its spectrum. In continue we present some conditions for existence such nonnegative ...
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##### 7. Some properties of band matrix and its application to the numerical solution one-dimensional Bratu's problem

*Volume 02, Issue 03 , Summer 2013, Pages 175-189*