Journal of Algebra and Related TopicsJournal of Algebra and Related Topics
http://iranjournals.nlai.ir/1345/
Mon, 24 Feb 2020 18:47:22 +0100FeedCreatorJournal of Algebra and Related Topics
http://iranjournals.nlai.ir/1345/
Feed provided by Journal of Algebra and Related Topics. Click to visit.On the Class of Subsets of Residuated lattice which induces a Congruence Relation
http://iranjournals.nlai.ir/1345/article_611273_83311.html
In this manuscript, we study the class of special subsets connected with a subset in a residuated lattice and investigate some related properties. We describe the union of elements of this class. Using the intersection of all special subsets connected with a subset, we give a necessary and sufficient condition for a subset to be a filter. Finally, by defining some operations, we endow this class with a residuated lattice structure and prove that it is isomorphic to the set of all congruence classes with respect to a filter.Fri, 31 May 2019 19:30:00 +0100e-lifting modules relative to fully invariant submodules
http://iranjournals.nlai.ir/1345/article_611274_83311.html
In this paper, we introduce the notion FI-e-lifting modules which is a proper generalization of lifting (e-lifting) modules.Then we give some characterizations and properties of e-lifting and FI-e-lifting modules. We provide a decomposition of any e-lifting modules. It is shown that every finite direct sum of FI-e-lifting modules is FI-e-liftingFri, 31 May 2019 19:30:00 +0100The inverse monoid associated to a group and the semidirect product of groups
http://iranjournals.nlai.ir/1345/article_611275_83311.html
In this paper, we construct an inverse monoid $Mleft( Gright) $ associatedto a given group $G$ by using the notion of the join of subgroups and then,by applying the left action of monoid $M$ on a semigroup $S$, we form asemigroup $Somega M$ on the set $Stimes M$. The finally result is to buildthe semi direct product of groups associated to the group action on ananother group.Fri, 31 May 2019 19:30:00 +0100The $ k $-${rm bf{ th}}$ spectral moment of signed complete graphs
http://iranjournals.nlai.ir/1345/article_611276_83311.html
Let $Gamma=(G,sigma)$ be a signed graph, where $G$ is the underlying simple graph with at least one edge and $sigma : E(G) longrightarrow lbrace -,+rbrace$ is the sign function on the edges of $G$. In this paper, we study the $ k $-th spectral moment of $(K_n,sigma)$, for a signature $sigma$. Also, we obtain the number of negative cycles in a signed complete graph whose negative edges induce the disjoint union of two distinct complete bipartite graphs.Fri, 31 May 2019 19:30:00 +01002-absorbing delta-primary elements in multiplicative lattices
http://iranjournals.nlai.ir/1345/article_611277_83311.html
In this paper, we define a 2-absorbing $delta$-primary element and a weakly 2-absorbing $delta$-primary element in a compactly generated multiplicative lattice $L$. We obtain some properties of these elements. We give a characterization for 2-absorbing $delta$-primary elements. Also we define a $delta$-triple-zero and a free $delta$-triple-zero and prove some results on it.Fri, 31 May 2019 19:30:00 +0100A new Gaussian Fibonacci matrices and its applications
http://iranjournals.nlai.ir/1345/article_611278_83311.html
In this paper, we introduced a new Gaussian Fibonacci matrix, $G^{n}$ whose elements are Gaussian Fibonacci numbers and we developed a new coding and decoding method followed from this Gaussian Fibonacci matrix, $G^{n}$. We established the relations between the code matrix elements, error detection and correction for this coding theory. Correction ability of this method is $93.33$%.Fri, 31 May 2019 19:30:00 +0100