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.
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| Main Author: | |
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| Format: | Article |
| Language: | German |
| Published: |
Ivan Franko National University of Lviv
2012-03-01
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| Series: | Математичні Студії |
| Subjects: | |
| Online Access: | http://matstud.org.ua/texts/2012/37_1/106-108.pdf |
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| Summary: | 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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| ISSN: | 1027-4634 |