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

Author I. S. Vasyunyk
mandaruna87@mail.ru
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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