Results 1 to 10 of about 133 (91)

2-Prime Hyperideals of Multiplicative Hyperrings

open access: yesJournal 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   +6 more sources

On 1-Absorbing Prime Hyperideal and Some of Its Generalizations

open access: yesJournal 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   +7 more sources

Completely Prime Hyperideals of Ternary Semihypergroups

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
In this article, we introduce the notions of pseudosymmetric hyperideals and globally idempotent ternary semihypergroups and present various examples for them.
Sarala Y.   +3 more
doaj   +4 more sources

δ-Primary Hyperideals on Commutative Hyperrings [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2017
The purpose of this paper is to define the hyperideal expansion. Hyperideal expansion is associated with prime hyperideals and primary hyperideals. Then, we define some of their properties.
Elif Ozel Ay   +2 more
doaj   +3 more sources

Contribution to study special kinds of hyperideals in ordered semihyperrings

open access: yesJournal of Taibah University for Science, 2017
In the present paper, we introduce the notion of k-hyperideals on ordered semihyperrings. Then, we investigate some fundamental properties of k-hyperideals of ordered semihyperrings.
Bijan Davvaz
exaly   +4 more sources

Spectrum of Zariski Topology in Multiplication Krasner Hypermodules

open access: yesMathematics, 2023
In this paper, we define the concept of pseudo-prime subhypermodules of hypermodules as a generalization of the prime hyperideal of commutative hyperrings.
Ergül Türkmen   +2 more
doaj   +2 more sources

Regular Parameter Elements and Regular Local Hyperrings

open access: yesMathematics, 2021
Inspired by the concept of regular local rings in classical algebra, in this article we initiate the study of the regular parameter elements in a commutative local Noetherian hyperring.
Hashem Bordbar   +2 more
exaly   +3 more sources

Superring of Polynomials over a Hyperring

open access: yesMathematics, 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

Generalizations of 2-Absorbing Primary Hyperideals of Multiplicative Hyperrings [PDF]

open access: yesمجلة 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   +1 more source

On certain Γ-hyperideals in Γ-semihypergroups [PDF]

open access: yesJournal of Hyperstructures, 2020
In this paper pseudo symmetric Γ-hyperideal in Γsemihypergroups is introduced and characterized. It is proved thatthe class of pseudo symmetric Γ-semihypergroups contains left (right) duo Γ-semihypergroups, quasi commutative Γ-semihypergroups with unity,
Ansari Safoora Samreen Jamal Abdul Nasir   +1 more
doaj   +1 more source

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