2-Regular Modules II
An R-module M is called a 2-regular module if every submodule N of M is 2-pure submodule, where a submodule N of M is 2-pure in M if for every ideal I of R, I2MN = I2N, [1]. This paper is a continuation of [1]. We give some conditions to characterize this class of modules, also many relationship...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2017-03-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| Subjects: | |
| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/156 |
| _version_ | 1817985059599155200 |
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| author | Nuhad S.AL-Mothafar Ghaleb A. Humod |
| author_facet | Nuhad S.AL-Mothafar Ghaleb A. Humod |
| author_sort | Nuhad S.AL-Mothafar |
| collection | DOAJ |
| description |
An R-module M is called a 2-regular module if every submodule N of M is 2-pure submodule, where a submodule N of M is 2-pure in M if for every ideal I of R, I2MN = I2N, [1]. This paper is a continuation of [1]. We give some conditions to characterize this class of modules, also many relationships with other related concepts are introduced.
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| first_indexed | 2024-04-13T23:52:18Z |
| format | Article |
| id | doaj.art-168b712fe8d144dab738f01707b13aa1 |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-04-13T23:52:18Z |
| publishDate | 2017-03-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-168b712fe8d144dab738f01707b13aa12022-12-22T02:24:01ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072017-03-012832-Regular Modules IINuhad S.AL-MothafarGhaleb A. Humod An R-module M is called a 2-regular module if every submodule N of M is 2-pure submodule, where a submodule N of M is 2-pure in M if for every ideal I of R, I2MN = I2N, [1]. This paper is a continuation of [1]. We give some conditions to characterize this class of modules, also many relationships with other related concepts are introduced. https://jih.uobaghdad.edu.iq/index.php/j/article/view/1562-pure submodules, 2-regular modules, pure submodule, regular modules. |
| spellingShingle | Nuhad S.AL-Mothafar Ghaleb A. Humod 2-Regular Modules II Ibn Al-Haitham Journal for Pure and Applied Sciences 2-pure submodules, 2-regular modules, pure submodule, regular modules. |
| title | 2-Regular Modules II |
| title_full | 2-Regular Modules II |
| title_fullStr | 2-Regular Modules II |
| title_full_unstemmed | 2-Regular Modules II |
| title_short | 2-Regular Modules II |
| title_sort | 2 regular modules ii |
| topic | 2-pure submodules, 2-regular modules, pure submodule, regular modules. |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/156 |
| work_keys_str_mv | AT nuhadsalmothafar 2regularmodulesii AT ghalebahumod 2regularmodulesii |