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Conditions when abelian clean Bezout ring is an elementary divisors ring (in Ukrainian)
Journal: Matematychni Studii (Vol.37, No. 1)Publication Date: 2012-01-01
Authors : Vasyunyk I. S.;
Page : 106-108
Keywords : Bezout ring; Hermite ring; stable rank;
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- Conditions when abelian clean Bezout ring is an elementary divisors ring (in Ukrainian)
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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.
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Last modified: 2014-01-13 20:03:00