# Almost zip Bezout domain

**Authors:** Bohdan Zabavsky, Oleh Romaniv

arXiv: 1903.02847 · 2019-03-08

## 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.

## Key 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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Source: https://tomesphere.com/paper/1903.02847