Effective ring
In this paper we will investigate commutative Bezout domains whose finite homomorphic images are semipotent rings. Among such commutative Bezout rings we consider a new class of rings and call them an effective rings. Furthermore we prove that effective rings are elementary divisor rings.
Збережено в:
| Дата: | 2014 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2014
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/153352 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Effective ring / B.V. Zabavsky, B.M. Kuznitska // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 149–156. — Бібліогр.: 7 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-153352 |
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dspace |
| spelling |
irk-123456789-1533522019-06-15T01:28:33Z Effective ring Zabavsky, B.V. Kuznitska, B.M. In this paper we will investigate commutative Bezout domains whose finite homomorphic images are semipotent rings. Among such commutative Bezout rings we consider a new class of rings and call them an effective rings. Furthermore we prove that effective rings are elementary divisor rings. 2014 Article Effective ring / B.V. Zabavsky, B.M. Kuznitska // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 149–156. — Бібліогр.: 7 назв. — англ. 1726-3255 2010 MSC:13F99. http://dspace.nbuv.gov.ua/handle/123456789/153352 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this paper we will investigate commutative Bezout domains whose finite homomorphic images are semipotent rings. Among such commutative Bezout rings we consider a new class of rings and call them an effective rings. Furthermore we prove that effective rings are elementary divisor rings. |
| format |
Article |
| author |
Zabavsky, B.V. Kuznitska, B.M. |
| spellingShingle |
Zabavsky, B.V. Kuznitska, B.M. Effective ring Algebra and Discrete Mathematics |
| author_facet |
Zabavsky, B.V. Kuznitska, B.M. |
| author_sort |
Zabavsky, B.V. |
| title |
Effective ring |
| title_short |
Effective ring |
| title_full |
Effective ring |
| title_fullStr |
Effective ring |
| title_full_unstemmed |
Effective ring |
| title_sort |
effective ring |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/153352 |
| citation_txt |
Effective ring / B.V. Zabavsky, B.M. Kuznitska // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 149–156. — Бібліогр.: 7 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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| first_indexed |
2023-05-20T17:38:32Z |
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2023-05-20T17:38:32Z |
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1796153759055740928 |