TL;DR
This paper introduces the concept of fractions in Krasner (m,n)-hyperrings, a generalization of (m,n)-rings, and investigates their fundamental properties to extend localization techniques in hyperring theory.
Contribution
It defines fractions in Krasner (m,n)-hyperrings and explores their basic properties, advancing the understanding of localization in hyperring structures.
Findings
Defined fractions in Krasner (m,n)-hyperrings
Established basic properties of these fractions
Extended localization concepts to hyperring context
Abstract
The formation of rings of fractions and the associated process of localization are the most important technical tools in commutative algebra. Krasner (m,n)-hyperrings are a generalization of (m,n)-ring. Let R be a commutative Krasner (m,n)-hyperring. The aim of this research work is to introduced the concept of fractions generated by R and then investigate the basic properties.
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Taxonomy
TopicsRough Sets and Fuzzy Logic