A generalization of a theorem of Faith and Menal and applications
In 1995, Faith and Menal have established the V -ring theorem which gives a characterization of a V-ring. In this paper, we generalize this theorem to V-modules and consider some applications for Noetherian self-cogenerators.
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200000636 |
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| _version_ | 1832549537482276864 |
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| author | Kentaro Tsuda |
| author_facet | Kentaro Tsuda |
| author_sort | Kentaro Tsuda |
| collection | DOAJ |
| description | In 1995, Faith and Menal have established the V
-ring theorem which gives a characterization of a V-ring. In this paper, we
generalize this theorem to V-modules and consider some
applications for Noetherian self-cogenerators. |
| format | Article |
| id | doaj-art-bb56237dcecf4ed7ae2d30c1817f1d3d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bb56237dcecf4ed7ae2d30c1817f1d3d2025-02-03T06:11:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123316917410.1155/S0161171200000636A generalization of a theorem of Faith and Menal and applicationsKentaro Tsuda0Department of Mathematics, Graduate School of Natural Science and Technology, Okayama University, Okayama 700, JapanIn 1995, Faith and Menal have established the V -ring theorem which gives a characterization of a V-ring. In this paper, we generalize this theorem to V-modules and consider some applications for Noetherian self-cogenerators.http://dx.doi.org/10.1155/S0161171200000636V-moduleV-ringJohns ringstrongly Johns ring. |
| spellingShingle | Kentaro Tsuda A generalization of a theorem of Faith and Menal and applications International Journal of Mathematics and Mathematical Sciences V-module V-ring Johns ring strongly Johns ring. |
| title | A generalization of a theorem of Faith and Menal and applications |
| title_full | A generalization of a theorem of Faith and Menal and applications |
| title_fullStr | A generalization of a theorem of Faith and Menal and applications |
| title_full_unstemmed | A generalization of a theorem of Faith and Menal and applications |
| title_short | A generalization of a theorem of Faith and Menal and applications |
| title_sort | generalization of a theorem of faith and menal and applications |
| topic | V-module V-ring Johns ring strongly Johns ring. |
| url | http://dx.doi.org/10.1155/S0161171200000636 |
| work_keys_str_mv | AT kentarotsuda ageneralizationofatheoremoffaithandmenalandapplications AT kentarotsuda generalizationofatheoremoffaithandmenalandapplications |