Rings and Fields from Semigroups
Volker Th\"urey
TL;DR
This paper introduces a method to construct rings and fields from semigroups and explores their algebraic properties, expanding the understanding of algebraic structures derived from semigroups.
Contribution
It presents a novel approach to generate rings and fields from semigroups and analyzes their fundamental properties.
Findings
Defined new algebraic structures from semigroups
Established basic properties of these rings and fields
Provided initial results on their algebraic behavior
Abstract
We introduce a ring and a field, generated by a semigroup, and we investigate some of their properties.
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Taxonomy
TopicsRings, Modules, and Algebras · Fuzzy and Soft Set Theory · Advanced Topics in Algebra