Results 1 to 10 of about 269,304 (111)
2-Prime Hyperideals of Multiplicative Hyperrings [PDF]
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
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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.
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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
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Superring of Polynomials over a Hyperring [PDF]
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 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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Complementary multiplicative hyperrings [PDF]
Discrete Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PROCESI, Rita, ROTA R.
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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
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J-hyperideals and related generalizations in multiplicative hyperrings [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we define the concept of $J$-hyperideals which is a generalization of $n$-hyperideals. A proper hyperideal $I$ of a multiplicative hyperring $R$ is said to be a $J$-hyperideal if $x,y\in R$ such that $x \circ y \subseteq I$, then ...
Mahdi Anbarloei, Ali Behtoei
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On Prime and Primary Hyperideals of a Multiplicative Hyperring
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica, 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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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
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