L-Hollow modules
To consider R is a commutative ring with unity, be a nonzero unitary left R-module, is known hollow module if each proper submodule of is small. L-hollow module is a strong form of hollow module, where an R-module is known L-hollow module if has a unique maximal submodule which contains eac...
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| Format: | Article |
| Language: | English |
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Tikrit University
2019-12-01
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| Series: | Tikrit Journal of Pure Science |
| Subjects: | |
| Online Access: | https://tjpsj.org/index.php/tjps/article/view/465 |
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| _version_ | 1850113958026936320 |
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| author | Thaer Z. Khlaif Nada K. Abdullah |
| author_facet | Thaer Z. Khlaif Nada K. Abdullah |
| author_sort | Thaer Z. Khlaif |
| collection | DOAJ |
| description |
To consider R is a commutative ring with unity, be a nonzero unitary left R-module, is known hollow module if each proper submodule of is small. L-hollow module is a strong form of hollow module, where an R-module is known L-hollow module if has a unique maximal submodule which contains each small submodules. The current study deals with this class of modules and give several fundamental properties related with this concept.
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| format | Article |
| id | doaj-art-6b8a4e88655a43ccbb168bab086cf8de |
| institution | OA Journals |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2019-12-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-6b8a4e88655a43ccbb168bab086cf8de2025-08-20T02:37:02ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262019-12-0124710.25130/tjps.v24i7.465L-Hollow modulesThaer Z. KhlaifNada K. Abdullah To consider R is a commutative ring with unity, be a nonzero unitary left R-module, is known hollow module if each proper submodule of is small. L-hollow module is a strong form of hollow module, where an R-module is known L-hollow module if has a unique maximal submodule which contains each small submodules. The current study deals with this class of modules and give several fundamental properties related with this concept. https://tjpsj.org/index.php/tjps/article/view/465hollow moduleL-hollow modulecyclic moduleamply supplementedindecomposable modulelifting module |
| spellingShingle | Thaer Z. Khlaif Nada K. Abdullah L-Hollow modules Tikrit Journal of Pure Science hollow module L-hollow module cyclic module amply supplemented indecomposable module lifting module |
| title | L-Hollow modules |
| title_full | L-Hollow modules |
| title_fullStr | L-Hollow modules |
| title_full_unstemmed | L-Hollow modules |
| title_short | L-Hollow modules |
| title_sort | l hollow modules |
| topic | hollow module L-hollow module cyclic module amply supplemented indecomposable module lifting module |
| url | https://tjpsj.org/index.php/tjps/article/view/465 |
| work_keys_str_mv | AT thaerzkhlaif lhollowmodules AT nadakabdullah lhollowmodules |