Approximaitly Primary Submodules
The study deals with the notion of an approximaitly primary submodules of unitary left -module over a commutative ring with identity as a generalization of a primary submodules and approximaitly prime submodules, where a proper submodule of an -module is called an approximaitly primary submodul...
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| Format: | Article |
| Language: | English |
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Tikrit University
2019-09-01
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| Series: | Tikrit Journal of Pure Science |
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| Online Access: | https://tjpsj.org/index.php/tjps/article/view/425 |
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| _version_ | 1849320717005357056 |
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| author | Ali Sh. Ajeel Haibat K. Mohammadali |
| author_facet | Ali Sh. Ajeel Haibat K. Mohammadali |
| author_sort | Ali Sh. Ajeel |
| collection | DOAJ |
| description |
The study deals with the notion of an approximaitly primary submodules of unitary left -module over a commutative ring with identity as a generalization of a primary submodules and approximaitly prime submodules, where a proper submodule of an -module is called an approximaitly primary submodule of , if whenever , for , , implies that either or for some positive integer of . Several characterizations, basic properties of this concept are given. On the other hand the relationships of this concept with some classes of modules are studied. Furthermore, the behavior of approximaitly primary submodule under -homomorphism are discussed.
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| format | Article |
| id | doaj-art-2e47d25cb99c47efbc4f5ae63fb5b404 |
| institution | Kabale University |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2019-09-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-2e47d25cb99c47efbc4f5ae63fb5b4042025-08-20T03:50:00ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262019-09-0124510.25130/tjps.v24i5.425Approximaitly Primary SubmodulesAli Sh. AjeelHaibat K. Mohammadali The study deals with the notion of an approximaitly primary submodules of unitary left -module over a commutative ring with identity as a generalization of a primary submodules and approximaitly prime submodules, where a proper submodule of an -module is called an approximaitly primary submodule of , if whenever , for , , implies that either or for some positive integer of . Several characterizations, basic properties of this concept are given. On the other hand the relationships of this concept with some classes of modules are studied. Furthermore, the behavior of approximaitly primary submodule under -homomorphism are discussed. https://tjpsj.org/index.php/tjps/article/view/425Prime submodulesPrimary submodulesApproximaitly prime submodulesApproximaitly quasi-prime submodulesApproximaitly primary submodulesand Socle of modules |
| spellingShingle | Ali Sh. Ajeel Haibat K. Mohammadali Approximaitly Primary Submodules Tikrit Journal of Pure Science Prime submodules Primary submodules Approximaitly prime submodules Approximaitly quasi-prime submodules Approximaitly primary submodules and Socle of modules |
| title | Approximaitly Primary Submodules |
| title_full | Approximaitly Primary Submodules |
| title_fullStr | Approximaitly Primary Submodules |
| title_full_unstemmed | Approximaitly Primary Submodules |
| title_short | Approximaitly Primary Submodules |
| title_sort | approximaitly primary submodules |
| topic | Prime submodules Primary submodules Approximaitly prime submodules Approximaitly quasi-prime submodules Approximaitly primary submodules and Socle of modules |
| url | https://tjpsj.org/index.php/tjps/article/view/425 |
| work_keys_str_mv | AT alishajeel approximaitlyprimarysubmodules AT haibatkmohammadali approximaitlyprimarysubmodules |