Strong Essential Submodules And Strong Uniform Modules
A non-zero submodule K of an R-module M is called essential if K L (0) for each non-zero submodule L of M . And an R-module M is called uniform if each non-zero submodule of M is an essential . In this paper we give generalization of essential submodule and uniform module that are strong essenti...
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| Format: | Article |
| Language: | English |
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Tikrit University
2023-02-01
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| Series: | Tikrit Journal of Pure Science |
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| Online Access: | https://tjpsj.org/index.php/tjps/article/view/960 |
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| _version_ | 1849319674341228544 |
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| author | Nada Khalid Abdullah |
| author_facet | Nada Khalid Abdullah |
| author_sort | Nada Khalid Abdullah |
| collection | DOAJ |
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A non-zero submodule K of an R-module M is called essential if K L (0) for each non-zero submodule L of M . And an R-module M is called uniform if each non-zero submodule of M is an essential . In this paper we give generalization of essential submodule and uniform module that are strong essential submodule and strong uniform module. A non-zero submodule N of M is called strong essential if N P (0) for each non-zero strongly prime submodule P of M . And an R-module M is called strong uniform if each non-zero submodule of M is a strong essential .
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| format | Article |
| id | doaj-art-256bce10062548c2b70eba5c9c0f49ae |
| institution | Kabale University |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2023-02-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-256bce10062548c2b70eba5c9c0f49ae2025-08-20T03:50:21ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262023-02-0121110.25130/tjps.v21i1.960Strong Essential Submodules And Strong Uniform ModulesNada Khalid Abdullah A non-zero submodule K of an R-module M is called essential if K L (0) for each non-zero submodule L of M . And an R-module M is called uniform if each non-zero submodule of M is an essential . In this paper we give generalization of essential submodule and uniform module that are strong essential submodule and strong uniform module. A non-zero submodule N of M is called strong essential if N P (0) for each non-zero strongly prime submodule P of M . And an R-module M is called strong uniform if each non-zero submodule of M is a strong essential . https://tjpsj.org/index.php/tjps/article/view/960Prime submodulesStrongly prime submodulesEssential submodulesSemi-Essential submodulesUniform modulesSemi-Uniform module |
| spellingShingle | Nada Khalid Abdullah Strong Essential Submodules And Strong Uniform Modules Tikrit Journal of Pure Science Prime submodules Strongly prime submodules Essential submodules Semi-Essential submodules Uniform modules Semi-Uniform module |
| title | Strong Essential Submodules And Strong Uniform Modules |
| title_full | Strong Essential Submodules And Strong Uniform Modules |
| title_fullStr | Strong Essential Submodules And Strong Uniform Modules |
| title_full_unstemmed | Strong Essential Submodules And Strong Uniform Modules |
| title_short | Strong Essential Submodules And Strong Uniform Modules |
| title_sort | strong essential submodules and strong uniform modules |
| topic | Prime submodules Strongly prime submodules Essential submodules Semi-Essential submodules Uniform modules Semi-Uniform module |
| url | https://tjpsj.org/index.php/tjps/article/view/960 |
| work_keys_str_mv | AT nadakhalidabdullah strongessentialsubmodulesandstronguniformmodules |