Hatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60001220200501On the free S^{ω}_{1} -algebras1710788210.29252/hatef.jahla.1.2.1ENA.Di NolaDepartment of Mathematics, University of Salerno, ItalyR.GrigoliaDepartment of Mathematics, Tbilisi State University, GeorgiaR.LipartelianiInstitute of Cybernetics, Georgian Technical University, GeorgiaJournal Article20200530One and two-generated free MV -algebras are algebraically described in the variety generated by perfect<br />MV -algebras.http://jahla.hatef.ac.ir/article_107882_c14cc999526ac741880fda9ed9e82940.pdfHatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60001220200501Two dimensional event set and its application in algebraic structures92110788310.29252/hatef.jahla.1.2.2ENY.B.JunDepartment of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea0000-0002-0181-8969Journal Article20200530Two dimensional event set is introduced, and it is applied to algebraic structures. Two dimensional BCK/BCI-eventful algebra, paired B-algebra and paired BCK/BCI-algebra are defined, and several properties are investigated. Conditions for two dimensional eventful algebra to be a B-algebra and a BCK/BCI-algebra are provided. The process of inducing a paired B-algebra using a group is discussed. Using two dimensional BCI-eventful algebra, a commutative group is established.http://jahla.hatef.ac.ir/article_107883_93c682b3f244420e036169ada670a378.pdfHatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60001220200501Some properties of n-hyperideals in commutative hyperrings233010788510.29252/hatef.jahla.1.2.3ENS.OmidiDepartment of Mathematics, Yazd University, Yazd, Iran.B.DavvazDepartment of Mathematics Yazd University, Yazd IranJ.ZhanDepartment of Mathematics, Hubei University for Nationalities,
Enshi, Hubei Province 445000, ChinaJournal Article20200530In this paper, we reformulate several results in commutative algebra in terms of commutative hyperrings. We introduce n-hyperideals in commutative hyperrings and give its some basic properties. Based on new definitions and theorems, we obtain some results in the hyperring theory. Also, the paper is stated a characterization for fundamental n-hyperideals.http://jahla.hatef.ac.ir/article_107885_b62b01d88e910fecee237b2c1dedef67.pdfHatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60001220200501Fuzzy congruence relations on pseudo BE-algebras314310788610.29252/hatef.jahla.1.2.4ENA.RezaeiDepartment of Mathematics, Payame Noor University, P.o.box. 19395-3697, Tehran, IranA.Borumand SaeidDepartment of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran0000-0001-9495-6027Q.ZhanDepartment of Mathematics, Beihang University (BUAA), BUA-Haidian School of Applied Technology,
chinaJournal Article20200530In this paper, we introduce the concept of fuzzy congruence relations on a pseudo BE-algebra and some of properties are investigated. We show that the set of all fuzzy congruence relations is a modular lattice and the quotient structure induced by fuzzy congruence relations is studied.http://jahla.hatef.ac.ir/article_107886_b085535d661de3bf0831f25c03c23bdb.pdfHatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60001220200501Hyper equality ideals: Basic properties455610788810.29252/hatef.jahla.1.2.5ENA.PaadDepartment of Mathematics, University of Bojnord, Bojnord, IranM.BakhshiDepartment of Mathematics, Bojnord University, Bojnord, IranJournal Article20200530In this paper, the concept of (strong) hyper equality ideals in bounded hyper equality algebras are introduced and several properties and related results are given. Also, the properties of hyper equality ideals of the direct product of bounded hyper equality algebras are investigated; we prove that any (strong) hyper equality ideal of the direct product of hyper equality algebras is representable with respect to the product of (strong) hyper equality ideals of any direct component. In the sequel, we investigate the relationships between hyper equality ideals and hyper deductive systems in good bounded hyper equality algebras. Furthermore, we show how one can construct a hyper congruence relation via a strong hyper equality ideal so that the congruence classes form a hyper equality algebra.http://jahla.hatef.ac.ir/article_107888_f05cf8098d355be1c2d9ca497172becb.pdfHatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60001220200501MBJ-neutrosophic filters of equality algebras577510788910.29252/hatef.jahla.1.2.6ENM.Mohseni TakalloDepartment of Mathematics, Shahid Beheshti University, Tehran, Iran0000-0002-4113-3657M.AalyHatef UniversityJournal Article20200530In this paper, we introduce the notion of MBJneutrosophic sub-algebra and MBJ-neutrosophic filter on equality algebras and investigate some equivalence definitions, properties and the relation between them. Also, by using the notion of MBJ-neutrosophic filter, we introduce a congruence relation on equality algebra and show that the quotient is an equality algebra.http://jahla.hatef.ac.ir/article_107889_02b5186de3ea9d6dc491235f5cc47bb0.pdfHatef College UniversityJournal of Algebraic Hyperstructures and Logical Algebras2676-60001219991130A note on UP-hyperalgebras779510789110.29252/hatef.jahla.1.2.7ENA.IampanUniversity of Phayao0000-0002-0475-3320A.SatiradUniversity of Phayao0000-0003-4616-3027M.SongsaengUniversity of Phayao0000-0002-2786-0196Journal Article19991130We introduce the concept of UP-hyperalgebras which is a generalization of UP-algebras, and investigate some related properties. Moreover, we introduce the concepts of UP-hypersubalgebras, UP-hyperideals of types 1 and 2, and s-UP-hyperideals of types 1 and 2 in UPhyperalgebras and give some relations among these cohttp://jahla.hatef.ac.ir/article_107891_b612a2b349b27cd543ec29a2db61be7d.pdf