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.
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2014 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2014
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/153352 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Effective ring / B.V. Zabavsky, B.M. Kuznitska // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 149–156. — Бібліогр.: 7 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862733548526501888 |
|---|---|
| author | Zabavsky, B.V. Kuznitska, B.M. |
| author_facet | Zabavsky, B.V. Kuznitska, B.M. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T19:38:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153352 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:38:25Z |
| publishDate | 2014 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Zabavsky, B.V. Kuznitska, B.M. 2019-06-14T03:27:32Z 2019-06-14T03:27:32Z 2014 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. https://nasplib.isofts.kiev.ua/handle/123456789/153352 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Effective ring Article published earlier |
| spellingShingle | Effective ring Zabavsky, B.V. Kuznitska, B.M. |
| title | Effective ring |
| title_full | Effective ring |
| title_fullStr | Effective ring |
| title_full_unstemmed | Effective ring |
| title_short | Effective ring |
| title_sort | effective ring |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153352 |
| work_keys_str_mv | AT zabavskybv effectivering AT kuznitskabm effectivering |