(u,v)-absorbing (prime) hyperideals in commutative multiplicative hyperrings
Mahdi Anbarloei
TL;DR
This paper introduces and explores (u,v)-absorbing hyperideals and prime hyperideals in commutative multiplicative hyperrings, extending existing algebraic concepts with new properties and results.
Contribution
It defines (u,v)-absorbing hyperideals and prime hyperideals in hyperrings, providing foundational properties and extending the theory of hyperideals in algebraic structures.
Findings
Defined (u,v)-absorbing hyperideals and prime hyperideals
Established properties of these hyperideals
Extended the theory of hyperideals in hyperrings
Abstract
In this paper, we will introduce the notion of (u,v)-absorbing hyperideals in multiplicative hyperrings and we will show some properties of them. Then we extend this concept to the notion of (u,v)-absorbing prime hyperideals and thhen we will give some results about them.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Rings, Modules, and Algebras