Results 11 to 20 of about 263,497 (101)
On 1-Absorbing Prime Hyperideal and Some of Its Generalizations [PDF]
Journal of Mathematics, 2022 In this paper, we introduce the concept of 1-absorbing prime hyperideals which is an expansion of the prime hyperideals. Several properties of the hyperideals are provided.
M. Anbarloei
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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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Complementary multiplicative hyperrings
Discrete Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PROCESI, Rita, ROTA R.
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Some Properties of Multiplicative Hv‐Rings of Polynomials over Multiplicative Hyperrings
Algebra, Volume 2014, Issue 1, 2014., 2014 The set of all polynomials R[x], over a multiplicative hyperring (R, + , ·), form a commutative group with respect to the component‐wise addition (+) of the polynomials. For polynomials f, g in R[x], f*g is a set of polynomials whose (k + 1)th components k∈N∪0 are chosen from the set ∑i+j=kai · bj, where ai and bj are the (i + 1)th and the (j + 1)th ...
Utpal Dasgupta, Andrei V. Kelarev
wiley +2 more sources
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 Prime and Primary Hyperideals of a Multiplicative Hyperring
Annals of the Alexandru Ioan Cuza University - Mathematics, 2012 Summary: Procesi and Rota introduced and studied in brief the prime hyperideals of multiplicative hyperrings. Here we intend to investigate extensively the prime and primary hyperideals of multiplicative hyperrings with absorbing zero. Defining the radical of a hyperideal \(I\) of a multiplicative hyperring with absorbing zero, as the intersection of ...
U. Dasgupta
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Graded hyperideals-based graphs on weak graded multiplicative hyperrings
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. We bring forward the concept of an intersection graph of graded hyperideals of monoid-graded multiplicative hyperrings.
Peyman Ghiasvand +2 more
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Fuzzy γ-hyperideals in γ-hypersemirings by using triangular norms. [PDF]
ScientificWorldJournal, 2014 The concept of Γ‐semihyperrings was introduced by Dehkordi and Davvaz as a generalization of semirings, semihyperrings, and Γ‐semiring. In this paper, by using the notion of triangular norms, we define the concept of triangular fuzzy sub‐Γ‐semihyperrings as well as triangular fuzzy Γ‐hyperideals of a Γ‐semihyperring, and we study a few results in this ...
Ersoy BA +3 more
europepmc +2 more sources
Extensions of n-ary prime hyperideals via an n-ary multiplicative subset in a Krasner (m,n)-hyperring [PDF]
Filomat, 2022 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.
M. Anbarloei
semanticscholar +1 more source