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

Author I. S. Vasyunyk
Ivan Franko National University of Lviv

Abstract 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.
Keywords Bezout ring; Hermite ring; stable rank
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Pages 106-108
Volume 37
Issue 1
Year 2012
Journal Matematychni Studii
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