Results 31 to 40 of about 186 (132)
[Retracted] Roughness in Hypervector Spaces
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 This paper examines rough sets in hypervector spaces and provides a few examples and results in this regard. We also investigate the congruence relations‐based unification of rough set theory in hypervector spaces. We introduce the concepts of lower and upper approximations in hypervector spaces.
Nabilah Abughazalah +3 more
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2‐Prime Hyperideals of Multiplicative Hyperrings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. A proper hyperideal I of R is called 2‐prime if x∘y⊆I for some x, y ∈ R, then, x2⊆I or y2⊆I.
Mahdi Anbarloei, Xiaogang Liu
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r‐Hyperideals and Generalizations of r‐Hyperideals in Krasner Hyperrings
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r‐hyperideals in commutative Krasner hyperrings. Some properties of pr‐hyperideals are also studied. The relation between prime hyperideals and r‐hyperideals is investigated. We show that the image and the inverse image of an r‐
Peng Xu +6 more
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Soft set theoretic approach to hyperstructtures [PDF]
Journal of Hyperstructures, 2016 In this paper, we have achieved hyperoperations us- ing soft set theory. We have showed that any given set H is a hyperstructure with And and Or operations in soft set theory.
Mustafa Burç Kandemir
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The Prime Filter Theorem for Multilattices
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 The aim of this paper is to establish the prime filter theorem for multilattices.
Daquin Cédric Awouafack +3 more
wiley +1 more source
The Properties of Maximal Filters in Multilattices
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Jacobson’s radical of a filter F is the intersection of all maximal filters containing F. We present several properties of maximal filters in multilattices. As a consequence of Zorn’s lemma, we prove that each proper filter is contained in a maximal filter. When the filter lattice is distributive, we prove that each maximal filter is prime. Finally, we
Daquin Cédric Awouafack +2 more
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Cayley Graphs over LA‐Groups and LA‐Polygroups
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The purpose of this paper is the study of simple graphs that are generalized Cayley graphs over LA‐polygroups (GCLAP − graphs). In this regard, we construct two new extensions for building LA‐polygroups. Then, we define Cayley graph over LA‐group and GCLAP‐graph.
Nabilah Abughazalah +3 more
wiley +1 more source
ON STRONGLY ASSOCIATIVE HYPERRINGS [PDF]
Journal of Algebraic Systems, 2019 This paper generalizes the idea of strongly associative hyperoperation introduced in [7] to the class of hyperrings. We introduce and investigate hyperrings of type 1, type 2 and SDIS.
Fatemeh Arabpur, Morteza Jafarpour
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An Approach to BMBJ‐Neutrosophic Hyper‐BCK‐Ideals of Hyper‐BCK‐Algebras
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this article, a new idea of BMBJ‐neutrosophic hyper‐BCK‐algebras is introduced and some of its properties are investigated. Here, BMBJ‐neutrosophic hyper‐BCK‐ideal, BMBJ‐neutrosophic weak hyper‐BCK‐ideal, BMBJ‐neutrosophic s‐weak hyper‐BCK‐ideal, and BMBJ‐neutrosophic strong hyper‐BCK‐ideal are presented, and some relevant results and relations are ...
Abdelaziz Alsubie +4 more
wiley +1 more source
Single‐Valued Neutro Hyper BCK‐Subalgebras
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 The purpose of this paper is to introduce the notation of single‐valued neutrosophic hyper BCK‐subalgebras and a novel concept of neutro hyper BCK‐algebras as a generalization and alternative of hyper BCK‐algebras, that have a larger applicable field. In order to realize the article’s goals, we construct single‐valued neutrosophic hyper BCK‐subalgebras
M. Hamidi +2 more
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