A criterion of elementary divisor domain for distributive domains

Vasylyna Bokhonko, Bohdan Volodymyrovych Zabavsky

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

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