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Hyperideal theory in ordered Krasner hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤).
Omidi Saber, Davvaz Bijan
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The associated hyperringoid to a Krasner hyperring [PDF]
Journal of Taibah University for Science, 2018 “Ends Lemma” is used to construct a hypergroupoid from a (quasi) partially ordered groupoid. But this lemma does not work well for creating a hyperringoid from a (partially) ordered ringoid.
H. Mirabdollahi +2 more
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Direct Limit of Krasner (m, n)-Hyperrings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2020 The purpose of this paper is the study of direct limits in category of Krasner (m, n)-hyperrings. In this regards we introduce and study direct limit of a direct system in category (m, n)-hyperrings.
Reza Ameri, Ameneh Asadi
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Topological Krasner hyperrings with special emphasis on isomorphism theorems
Applied General Topology, 2022 Krasner hyperring is one of the generalizations of the classical ring in literature. In this paper, the notion of topological Krasner hyperring is introduced as a generalization of topological ring and variant of isomorphism theorems are ...
Manooranjan Singha, Kousik Das
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Applications of rough soft sets to Krasner (m,n)-hyperrings and corresponding decision making methods [PDF]
New Mathematics and Natural Computation, 2018 There exist different kinds of hyperrings. If the addition [Formula: see text] is a hyperoperation and the multiplication ⋅ is an ordinary operation, then we can consider an additive hyperring. A special case of this type is the Krasner hyperring. In this paper, we apply the concept of complex fuzzy sets to Krasner hyperrings, define their complex ...
Xueling Ma, J. Zhan, B. Davvaz
semanticscholar +9 more sources
On Prime Hyperideals of a Krasner Hyperring
Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 The basis of this study, which was put forth in order to appropriate a special area in the hyperring theory, which has recently been studied as a generalization of the ring theory, which uses the module theory as an application field, is based on ...
Burcu Ni̇şancı Türkmen
semanticscholar +5 more sources
Zariski Topology of (Krasner) Hyperrings [PDF]
European Journal of Pure and Applied MathematicsIn this paper, we investigate the Zariski topology on the prime spectrum of commutative Krasner hyperrings and explore its interplay with the underlying algebraic structure.
B. Afshar, R. Ameri, Madeleine Al-Tahan
semanticscholar +7 more sources
A note on isomorphism theorems of Krasner (m, n)-hyperrings [PDF]
Computers & Mathematics with Applications, 2016 Recently, Krasner (m, n)-hyperrings were introduced and analyzed by Davvaz et. al. This is a suitable generalization of Krasner hyperrings. In this research work, we consider that if I is a normal hyperideal of a Krasner (m, n)-hyperring R, then the ...
S. Ostadhadi-Dehkordi, B. Davvaz
semanticscholar +6 more sources
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ-prime, ϕ-primary and ϕ-δ-primary hyperideals are introduced. The concept of δ-primary hyperideals is extended to ϕ-δ-primary hyperideals. Some characterizations of hyperideals are provided to classify them.
Hao Guan +5 more
wiley +3 more sources
Hopkins-Levitzki theorem for Krasner hyperrings
Filomat, 2021 In this paper, our aim is to generalize and extend the Hopkins-Levitzki theorem from noncommutative rings to Krasner hyperring. Also, we prove that a Krasner hyperring R is Noetherian if and only if it satisfies the ascending chain conditions of prime
S. Ostadhadi-Dehkordi, K. Shum
semanticscholar +4 more sources