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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | Arabic |
| Published: |
College of Science for Women, University of Baghdad
2013-03-01
|
| Series: | Baghdad Science Journal |
| Subjects: | |
| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1449 |
| id |
doaj-77fbe85ac0634bb9be3c348bc1f77bd4 |
|---|---|
| record_format |
Article |
| spelling |
doaj-77fbe85ac0634bb9be3c348bc1f77bd42020-11-25T01:35:00ZaraCollege 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. |
| collection |
DOAJ |
| language |
Arabic |
| format |
Article |
| sources |
DOAJ |
| author |
Baghdad Science Journal |
| spellingShingle |
Baghdad Science Journal Couniform Modules Baghdad Science Journal Epiform modules, Hollow modules, Coquasi Dedekind module, Copolyform modules, Small submodules, Semismall submodule, Coessential submodules. |
| author_facet |
Baghdad Science Journal |
| author_sort |
Baghdad Science Journal |
| title |
Couniform Modules |
| title_short |
Couniform Modules |
| title_full |
Couniform Modules |
| title_fullStr |
Couniform Modules |
| title_full_unstemmed |
Couniform Modules |
| title_sort |
couniform modules |
| publisher |
College of Science for Women, University of Baghdad |
| series |
Baghdad Science Journal |
| issn |
2078-8665 2411-7986 |
| publishDate |
2013-03-01 |
| 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.
|
| 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 |
| _version_ |
1725069195580801024 |