University of GuilanJournal of Algebra and Related Topics2345-39317120190601On the Class of Subsets of Residuated lattice which induces a Congruence Relation112368710.22124/jart.2019.11333.1119ENH. HarizaviDepartment of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, IranJournal Article20180922In 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.https://jart.guilan.ac.ir/article_3687_5299c0b4ef0a8acd5f965ad25c45b012.pdfUniversity of GuilanJournal of Algebra and Related Topics2345-39317120190601e-lifting modules relative to fully invariant submodules1324368810.22124/jart.2019.11972.1135ENF. AlizadehDepartment of Mathematics, Faculty of Basic Sciences, Babol University of Technology
Babol, IranM. HosseinpourDepartment of Mathematics, Faculty of Mathematical Sciences,
University of Mazandaran, Babolsar, IranZ. KamaliDepartment of Mathematics, Faculty of Basic Sciences, Babol University of Technology
Babol, IranJournal Article20181214In this paper, we introduce the notion FI-e-lifting modules which is a proper generalization of lifting (e-lifting) modules.<br />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-liftinghttps://jart.guilan.ac.ir/article_3688_49b594f8898e605a0b32c9c9363b1c0a.pdfUniversity of GuilanJournal of Algebra and Related Topics2345-39317120190601The inverse monoid associated to a group and the semidirect product of groups2534368910.22124/jart.2019.11348.1120ENN. GhadbaneLaboratory of Pure and Applied Mathematics , Department of Mathematics, University of M'sila, B.P 166, Msila, AlgeriaJournal Article20180924In this paper, we construct an inverse monoid $Mleft( Gright) $ associated<br />to a given group $G$ by using the notion of the join of subgroups and then,<br />by applying the left action of monoid $M$ on a semigroup $S$, we form a<br />semigroup $Somega M$ on the set $Stimes M$. The finally result is to build<br />the semi direct product of groups associated to the group action on an<br />another group.https://jart.guilan.ac.ir/article_3689_23c7465e7ec64a0cf73dc61c9ecc1e2d.pdfUniversity of GuilanJournal of Algebra and Related Topics2345-39317120190601The $ k $-${rm bf{ th}}$ spectral moment of signed complete graphs3544369010.22124/jart.2019.13670.1150ENS. DalvandiDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranF. HeydariDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranM. MaghasediDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranJournal Article20190625Let $Gamma=(G,sigma)$ 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.https://jart.guilan.ac.ir/article_3690_d67598716ecc8ae5483f54f2bc56eeb6.pdfUniversity of GuilanJournal of Algebra and Related Topics2345-393171201906012-absorbing delta-primary elements in multiplicative lattices4564372010.22124/jart.2019.11322.1118ENJ. Y. NeheteDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad.S. K. NimbhorkarDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, AurangabadJournal Article20180920In 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.https://jart.guilan.ac.ir/article_3720_9e026b8035731c9bbb5e771f954a466f.pdfUniversity of GuilanJournal of Algebra and Related Topics2345-39317120190601A new Gaussian Fibonacci matrices and its applications6572372110.22124/jart.2019.12999.1144ENB. PrasadKandi Raj College, Kandi, IndiaJournal Article20190413In 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 $93.33$%.https://jart.guilan.ac.ir/article_3721_49da7f8b20ac8534782e530a53b0cea1.pdf