Results 1 to 10 of about 282 (108)

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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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 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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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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$n-$absorbing $I-$prime hyperideals in multiplicative hyperrings

, 2023
In this paper, we define the concept $I-$prime hyperideal in a multiplicative hyperring $R$. A proper hyperideal $P$ of $R$ is an $I-$prime hyperideal if for $a, b \in R$ with $ab \subseteq P-IP$ implies $a \in P$ or $b \in P$.
Akray, Ismael, Mina, Ali A.
core   +4 more sources

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. Some properties of S-prime hyperideals in multiplicative hyperring are presented.
Peyman Ghiasvand, Farkhondeh Farzalipour
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Generalizations of 2-Absorbing Primary Hyperideals of Multiplicative Hyperrings [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2023
In this paper, we introduce the concept of ϕ-2-absorbing primary hyperideals in multiplicative hyperrings. Several results concerning ϕ-2-absorbing primary hyperideals are proved.
Mohammad Hamoda
doaj   +3 more sources

Complementary multiplicative hyperrings

Discrete Mathematics, 2007
AbstractIn this paper the complementary hyperstructure obtained from a multiplicative hyperring is considered. Furthermore a characterization for such hyperstructures obtained starting from a strongly distributive multiplicative hyperring is given.
R. Procesi, Rosaria Rota
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On Prime and Primary Hyperideals of a Multiplicative Hyperring

Annals of the Alexandru Ioan Cuza University - Mathematics, 2012
Procesi and Rota introduced and studied in brief the prime hyperideals of multiplicative hyperrings. Here we intend to investigate extensively the prime and pri- mary hyperideals of multiplicative hyperrings with absorbing zero. Dening the radical of a hyperideal I of a multiplicative hyperring with absorbing zero, as the intersection of all prime ...
Utpal Dasgupta
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Alpha-prime hyperideals in a multiplicative hyperring

, 2021
The notion of multiplicative hyperrings is an important class of the algebraic hyper-structures.
Mahdi Anbarloei
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