University of Guilan Journal of Algebra and Related Topics 2345-3931 7 1 2019 06 01 On the Class of Subsets of Residuated lattice which induces a Congruence Relation 1 12 3687 10.22124/jart.2019.11333.1119 EN H. Harizavi Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran Journal Article 2018 09 22 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. https://jart.guilan.ac.ir/article_3687_5299c0b4ef0a8acd5f965ad25c45b012.pdf
University of Guilan Journal of Algebra and Related Topics 2345-3931 7 1 2019 06 01 e-lifting modules relative to fully invariant submodules 13 24 3688 10.22124/jart.2019.11972.1135 EN F. Alizadeh Department of Mathematics, Faculty of Basic Sciences, Babol University of Technology Babol, Iran M. Hosseinpour Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Z. Kamali Department of Mathematics, Faculty of Basic Sciences, Babol University of Technology Babol, Iran Journal Article 2018 12 14 In 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-lifting https://jart.guilan.ac.ir/article_3688_49b594f8898e605a0b32c9c9363b1c0a.pdf
University of Guilan Journal of Algebra and Related Topics 2345-3931 7 1 2019 06 01 The inverse monoid associated to a group and the semidirect product of groups 25 34 3689 10.22124/jart.2019.11348.1120 EN N. Ghadbane Laboratory of Pure and Applied Mathematics , Department of Mathematics, University of M&#039;sila, B.P 166, Msila, Algeria Journal Article 2018 09 24 In 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.pdf
University of Guilan Journal of Algebra and Related Topics 2345-3931 7 1 2019 06 01 The $k$-${rm bf{ th}}$ spectral moment of signed complete graphs 35 44 3690 10.22124/jart.2019.13670.1150 EN S. Dalvandi Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran F. Heydari Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran M. Maghasedi Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran Journal Article 2019 06 25 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. https://jart.guilan.ac.ir/article_3690_d67598716ecc8ae5483f54f2bc56eeb6.pdf
University of Guilan Journal of Algebra and Related Topics 2345-3931 7 1 2019 06 01 2-absorbing delta-primary elements in multiplicative lattices 45 64 3720 10.22124/jart.2019.11322.1118 EN J. Y. Nehete Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad. S. K. Nimbhorkar Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad Journal Article 2018 09 20 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. https://jart.guilan.ac.ir/article_3720_9e026b8035731c9bbb5e771f954a466f.pdf
University of Guilan Journal of Algebra and Related Topics 2345-3931 7 1 2019 06 01 A new Gaussian Fibonacci matrices and its applications 65 72 3721 10.22124/jart.2019.12999.1144 EN B. Prasad Kandi Raj College, Kandi, India Journal Article 2019 04 13 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 $93.33$%. https://jart.guilan.ac.ir/article_3721_49da7f8b20ac8534782e530a53b0cea1.pdf