Results 1 to 10 of about 265,460 (124)
2-Prime Hyperideals of Multiplicative Hyperrings
Journal of Mathematics, 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.
Mahdi Anbarloei
doaj +4 more sources
DIFFERENTIAL MULTIPLICATIVE HYPERRINGS [PDF]
Journal of Algebraic Systems, 2014 There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation.
L. Kamali Ardekani, Bijan Davvaz
doaj +6 more sources
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
doaj +3 more sources
On Hyperideals of Multiplicative Hyperrings
Cumhuriyet Science Journal, 2022 Let R be a commutative multiplicative hyperring. In this paper, we introduce and study the concepts of n-hyperideal and δ-n-hyperideal of R which are generalization of n-ideals and δ-n-ideals of the in a commutative ring.
Ummahan Merdinaz Acar, Betül Coşgun
doaj +4 more sources
Multiplicative hyperring of fractions and coprime hyperideals [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show ...
Ameri R., Kordi A., Hoskova-Mayerova S.
doaj +3 more sources
A note on weakly prime hyperideals and (1, n) hyperideals on multiplicative hyperrings [PDF]
Journal of Algebraic Hyperstructures and Logical Algebras, 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
E. Ay, Gürsel Yeşilot
semanticscholar +6 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
Complementary multiplicative hyperrings
Discrete Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. Procesi, R. Rota
semanticscholar +4 more sources