Conditions when abelian clean Bezout ring is an elementary divisors ring (in Ukrainian)

In the paper it is proved that the abelian clean Bezout ring is an elementary divisors ring, if and only if it is a duo-ring and shows that the projective-free right (left) Bezout ring is right (left) Hermite ring if his stable rank not more 2.

Bibliographic Details
Published in:Математичні Студії
Main Author: I. S. Vasyunyk
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2012-03-01
Subjects:
Online Access:http://matstud.org.ua/texts/2012/37_1/106-108.pdf