Results 11 to 20 of about 242,644 (80)
On the Borderline of Fields and Hyperfields
Mathematics, 2023 The hyperfield came into being due to a mathematical necessity that appeared during the study of the valuation theory of the fields by M. Krasner, who also defined the hyperring, which is related to the hyperfield in the same way as the ring is related ...
Christos G. Massouros +1 more
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Superring of Polynomials over a Hyperring
Mathematics, 2019 A Krasner hyperring (for short, a hyperring) is a generalization of a ring such that the addition is multivalued and the multiplication is as usual single valued and satisfies the usual ring properties.
Reza Ameri +2 more
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On S-prime hyperideals in multiplicative hyperrings [PDF]
Journal of Algebraic Hyperstructures and Logical Algebras, 2021 Let R be a multiplicative hyperring and S be a subset of R be a multiplicatively closed subset of R. In this paper, we introduce and study the concept of S-prime hyperideals which is a generalization of prime hyperideals.
Peyman Ghiasvand, Farkhondeh Farzalipour
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On phi-2-Absorbing phi-2-Absorbing Primary Hyperideals of A Multiplicative Hyperring [PDF]
Journal of the Indonesian Mathematical Society, 2019 Let $R$ be a multiplicative hyperring. In this paper, we extend the concept of 2-absorbing hyperideals and 2-absorbing primary hyperideals to the context $\varphi$-2-absorbing hyperideals and $\varphi$-2-absorbing primary hyperideals. Let $
Mahdi Anbarloei
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Generalizations of Prime Hyperideals via Hypersystems in Krasner Hyperrings
AxiomsThe aim of this study is to investigate generalized prime hyperideals in the framework of Krasner hyperrings. To this end, new classes of hyperideals are introduced and analyzed based on multiplicatively closed properties.
Mehmet Bozdaş, Ummahan Acar
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On graded fuzzy n-absorbing hyperideals in graded multiplicative hyperrings [PDF]
Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2023 Peman Ghiasvand +2 more
semanticscholar +3 more sources
A note on weakly prime hyperideals and (1, n) hyperideals on multiplicative hyperrings
Thermal Science, 2022 In this article we give the definition of weakly prime hyperideals over multiplicative hyperring. We provide important results showing the relations between prime hyperideals and weakly prime hyperideals. Then we give definition of weakly n-hyperideal
Elif Ay, Gürsel Yeşіlot
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Extensions of n-ary prime hyperideals via an n-ary multiplicative subset in a Krasner (m,n)-hyperring [PDF]
Filomat, 2023 Let R be a Krasner (m, n)-hyperring and S be an n-ary multiplicative subset of R. The purpose of this paper is to introduce the notion of n-ary S-prime hyperideals as a new expansion of n-ary prime hyperideals.
Mahdi Anbarloei
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On Prime and Primary Hyperideals of a Multiplicative Hyperring
, 2012 Utpal Dasgupta
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Graded Hyperideals-Based Graphs on Weak Graded Multiplicative Hyperrings [PDF]
Journal of Algebra and its ApplicationsIn this paper, we introduce the notion of weak monoid-graded multiplicative hyperrings and present their properties, special the relation to monoid-graded multiplicative hyperrings.
P. Ghiasvand +2 more
semanticscholar +3 more sources