The Maximal Integral Domain Generated By A Commutative Ring
Kerry M. Soileau
TL;DR
This paper introduces a method to construct the maximal integral domain generated by a given nonzero commutative ring, expanding understanding of ring extensions and their properties.
Contribution
It provides a novel construction of the maximal integral domain generated by any nonzero commutative ring R.
Findings
Established the existence of mid(R) for any nonzero commutative ring R.
Characterized properties of the maximal integral domain generated by R.
Demonstrated applications of mid(R) in ring theory.
Abstract
In this paper, we exhibit the creation of the maximal integral domain mid(R) generated by a nonzero commutative ring R.
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Taxonomy
TopicsRings, Modules, and Algebras · Polynomial and algebraic computation · Coding theory and cryptography