**Volume 10 (2022-2023)**

**Volume 9 (2021-2022)**

**Volume 8 (2020-2021)**

**Volume 7 (2019-2020)**

**Volume 6 (2018-2019)**

**Volume 5 (2017-2018)**

**Volume 4 (2016-2017)**

**Volume 3 (2015-2016)**

**Volume 2 (2014-2015)**

**Volume 1 (2013-2014)**

Number of Articles: 6

##### ASSOCIATED (SEMI)HYPERGROUPS FROM DUPLEXES

*Volume 2, Issue 2 , January 2015, Pages 83-96*

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**Abstract **

In this paper using strongly duplexes we introduce a new class of (semi)hypergroups. The associated (semi)hypergroup from a strongly duplex is called duplex (semi)hypergroup. Two computer programs written in MATLAB show that the two groups $Z_{2n}$ and $Z_{n}times Z_{2}$ produce a strongly duplex and ...
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##### ON THE EDGE COVER POLYNOMIAL OF CERTAIN GRAPHS

*Volume 2, Issue 2 , January 2015, Pages 97-108*

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**Abstract **

Let $G$ be a simple graph of order $n$ and size $m$. The edge covering of $G$ is a set of edges such that every vertex of $G$ is incident to at least one edge of the set. The edge cover polynomial of $G$ is the polynomial$E(G,x)=sum_{i=rho(G)}^{m} e(G,i) x^{i}$, where $e(G,i)$ is the number of edge coverings ...
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##### ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS

*Volume 2, Issue 2 , January 2015, Pages 109-124*

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**Abstract **

Let $alpha$ be an automorphism of a ring $R$. The authors [On skew inverse Laurent-serieswise Armendariz rings, Comm. Algebra 40(1) (2012) 138-156] applied the concept of Armendariz rings to inverse skew Laurent series rings and introduced skew inverse Laurent-serieswise Armendariz rings. In this article, ...
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##### COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION

*Volume 2, Issue 2 , January 2015, Pages 125-135*

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**Abstract **

In this paper we use "ring changed'' Gorenstein homological dimensions to define Cohen-Macaulay injective, projective and flat dimensions. For doing this we use the amalgamated duplication of the base ring with semi-dualizing ideals. Among other results, we prove that finiteness of these new dimensions ...
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##### COGENERATOR AND SUBDIRECTLY IRREDUCIBLE IN THE CATEGORY OF S-POSETS

*Volume 2, Issue 2 , January 2015, Pages 137-146*

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**Abstract **

In this paper we study the notions of cogenerator and subdirectly irreducible in the category of S-poset. First we give somenecessary and sufficient conditions for a cogenerator $S$-posets. Then we see that under some conditions, regular injectivity implies generator and cogenerator. Recalling Birkhoff's ...
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##### ON THE GROUPS WITH THE PARTICULAR NON-COMMUTING GRAPHS

*Volume 2, Issue 2 , January 2015, Pages 147-151*