Alpha-prime hyperideals in a multiplicative hyperring
Mahdi Anbarloei
TL;DR
This paper explores the concept of alpha-prime hyperideals within multiplicative hyperrings, an important class of algebraic hyper-structures, aiming to deepen understanding of their properties and applications.
Contribution
It introduces and studies alpha-prime hyperideals in multiplicative hyperrings, providing new insights into their structure and behavior.
Findings
Characterization of alpha-prime hyperideals
Relations between hyperideals and hyperring properties
Potential applications in algebraic hyper-structure theory
Abstract
The notion of multiplicative hyperrings is an important class of the algebraic hyper-structures.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Advanced Topics in Algebra