Results 31 to 40 of about 779 (169)
Generalizations of 2-Absorbing Primary Hyperideals of Multiplicative Hyperrings [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2023 In this paper, we introduce the concept of ϕ-2-absorbing primary hyperideals in multiplicative hyperrings. Several results concerning ϕ-2-absorbing primary hyperideals are proved.
Mohammad Hamoda
doaj +2 more sources
r -Hyperideals and Generalizations of r -Hyperideals in Krasner Hyperrings [PDF]
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
Kaya, Elif +5 more
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Symmetry, 2022 The concept of convex ordered hyperrings associated with a strongly regular relation was investigated in this study. In this paper, we first studied hyperatom elements of ordered hyperrings and then investigated characterizations of quotient ordered ...
Mehdi Gheisari +2 more
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Semiring systems arising from hyperrings [PDF]
Journal of Pure and Applied Algebra, 2022 Hyperfields and systems are two algebraic frameworks which have been developed to provide a unified approach to classical and tropical structures. All hyperfields, and more generally hyperrings, can be represented by systems. Conversely, we show that the
Rowen, Louis +2 more
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Transitivity of the εm-relation on (m-idempotent) hyperrings
Open Mathematics, 2018 On a general hyperring, there is a fundamental relation, denoted γ*, such that the quotient set is a classical ring. In a previous paper, the authors defined the relation εm on general hyperrings, proving that its transitive closure εm∗$\begin{array}{} \
Norouzi Morteza, Cristea Irina
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A Comparison of Complete Parts on m-Idempotent Hyperrings
Symmetry, 2020 On a particular class of m-idempotent hyperrings, the relation ξ m * is the smallest strongly regular equivalence such that the related quotient ring is commutative. Thus, on such hyperrings, ξ m * is a new representation for the
Morteza Norouzi +2 more
exaly +3 more sources
δ-primary subhypermodules on Krasner hyperrings [PDF]
Categories and General Algebraic Structures with ApplicationsIn this paper, we study commutative Krasner hyperrings with nonzero identity and nonzero unital hypermodules. We introduce a new concept, the $\delta$-primary subhypermodule on Krasner hyperrings.
Kostaq Hila +5 more
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A Study on Special Kinds of Derivations in Ordered Hyperrings
Symmetry, 2022 In this study, we concentrate on an important class of ordered hyperstructures with symmetrical hyperoperations, which are called ordered Krasner hyperrings, and discuss strong derivations and homo-derivations.
Saeed Kosari +3 more
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Relations on Krasner (m,n)-hyperrings
European Journal of Combinatorics, 2010 The aim of this research work is to define and characterize a new class of n-ary multialgebras that we call Krasner (m,n)-hyperrings. They are a generalization of canonical n-ary hypergroups, a generalization of (m,n)-rings, a generalization of ...
S Mirvakili, Bijan Davvaz
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Fuzzy Krasner (m,n)-hyperrings
Computers and Mathematics With Applications, 2010 Recently, Krasner (m,n)-hyperrings were introduced and analyzed by Mirvakili and Davvaz. Krasner (m,n)-hyperrings are a suitable generalization of Krasner hyperrings. This paper concerns a relationship between fuzzy sets and hyperstructure theory.
Bijan Davvaz
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