V. Bokhonko, B. Zabavsky, “A criterion of elementary divisor domain for distributive domains”, Algebra Discrete Math., 2017, Volume 23, Issue 1,Pages <nobr>1

This article is cited in 1 paper

RESEARCH ARTICLE

A criterion of elementary divisor domain for distributive domains

V. Bokhonko, B. Zabavsky

Department of Mechanics and Mathematics, Ivan Franko National University, Lviv, Ukraine

Abstract: In this paper we introduce the notion of the neat range one for Bezout duo-domains. We show that a distributive Bezout domain is an elementary divisor domain if and only if it is a duo-domain of neat range one.

Keywords: distributive domain, Bezout duo-domain, neat ring, clear ring, elementary divisor ring, stable range one, neat range one.

MSC: 13F99

Received: 26.09.2015
Revised: 31.01.2017

Language: English