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
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 ... Read MoreON THE EDGE COVER POLYNOMIAL OF CERTAIN GRAPHS
Volume 2, Issue 2 , January 2015, Pages 97-108
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 ... Read MoreON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS
Volume 2, Issue 2 , January 2015, Pages 109-124
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, ... Read MoreCOHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION
Volume 2, Issue 2 , January 2015, Pages 125-135
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 ... Read MoreCOGENERATOR AND SUBDIRECTLY IRREDUCIBLE IN THE CATEGORY OF S-POSETS
Volume 2, Issue 2 , January 2015, Pages 137-146
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 ... Read MoreON THE GROUPS WITH THE PARTICULAR NON-COMMUTING GRAPHS
Volume 2, Issue 2 , January 2015, Pages 147-151