Couniform Modules
In this paper we introduce and study a new concept named couniform modules, which is a dual notion of uniform modules, where an R-module M is said to be couniform if every proper submodule N of M is either zero or there exists a proper submodule N1 of N such that is small submodule of (denoted b...
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| Format: | Article |
| Language: | Arabic |
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College of Science for Women, University of Baghdad
2013-03-01
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| Series: | Baghdad Science Journal |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1449 |
| _version_ | 1818146164961181696 |
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| author | Baghdad Science Journal |
| author_facet | Baghdad Science Journal |
| author_sort | Baghdad Science Journal |
| collection | DOAJ |
| description | In this paper we introduce and study a new concept named couniform modules, which is a dual notion of uniform modules, where an R-module M is said to be couniform if every proper submodule N of M is either zero or there exists a proper submodule N1 of N such that is small submodule of (denoted by )
Also many relationships are given between this class of modules and other related classes of modules. Finally, we consider the hereditary property between R-module M and R-module R in case M is couniform. |
| first_indexed | 2024-12-11T12:15:00Z |
| format | Article |
| id | doaj.art-77fbe85ac0634bb9be3c348bc1f77bd4 |
| institution | Directory Open Access Journal |
| issn | 2078-8665 2411-7986 |
| language | Arabic |
| last_indexed | 2024-12-11T12:15:00Z |
| publishDate | 2013-03-01 |
| publisher | College of Science for Women, University of Baghdad |
| record_format | Article |
| series | Baghdad Science Journal |
| spelling | doaj.art-77fbe85ac0634bb9be3c348bc1f77bd42022-12-22T01:07:41ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862013-03-0110110.21123/bsj.10.1.243-250Couniform ModulesBaghdad Science JournalIn this paper we introduce and study a new concept named couniform modules, which is a dual notion of uniform modules, where an R-module M is said to be couniform if every proper submodule N of M is either zero or there exists a proper submodule N1 of N such that is small submodule of (denoted by ) Also many relationships are given between this class of modules and other related classes of modules. Finally, we consider the hereditary property between R-module M and R-module R in case M is couniform.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1449 Epiform modules, Hollow modules, Coquasi Dedekind module, Copolyform modules, Small submodules, Semismall submodule, Coessential submodules. |
| spellingShingle | Baghdad Science Journal Couniform Modules Baghdad Science Journal Epiform modules, Hollow modules, Coquasi Dedekind module, Copolyform modules, Small submodules, Semismall submodule, Coessential submodules. |
| title | Couniform Modules |
| title_full | Couniform Modules |
| title_fullStr | Couniform Modules |
| title_full_unstemmed | Couniform Modules |
| title_short | Couniform Modules |
| title_sort | couniform modules |
| topic | Epiform modules, Hollow modules, Coquasi Dedekind module, Copolyform modules, Small submodules, Semismall submodule, Coessential submodules. |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1449 |
| work_keys_str_mv | AT baghdadsciencejournal couniformmodules |