Almost zip Bezout domain
Bohdan Zabavsky, Oleh Romaniv
TL;DR
This paper characterizes a specific class of commutative Bezout domains where all finite homomorphic images are zip rings modulo the nilradical, expanding understanding of their algebraic structure.
Contribution
It provides a characterization of commutative Bezout domains with finite homomorphic images that are zip rings modulo nilradical, linking zip ring properties to domain structure.
Findings
Finite homomorphic images are zip rings modulo nilradical
Characterization of Bezout domains with zip ring properties
Extension of zip ring concept to algebraic domains
Abstract
J. Zelmanowitz introduced the concept of ring, which we call zip rings. In this paper we characterize a commutative Bezout domain whose finite homomorphic images are zip rings modulo its nilradical.
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Taxonomy
TopicsRings, Modules, and Algebras