tg-Radical Supplemented Modules
In this work, we define tg-radical supplemented modules and cofinitely tg-radical supplemented modules. We investigate some properties of these modules. In addition, we present examples separating the tg-radical supplemented modules, g-supplemented modules, and ⊕-g-Rad-supplemented modules and also...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2024-01-01
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| Series: | BIO Web of Conferences |
| Online Access: | https://www.bio-conferences.org/articles/bioconf/pdf/2024/16/bioconf_iscku2024_00165.pdf |
| _version_ | 1797213266680741888 |
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| author | Alwan Ahmed H. Falh Mohammedreda N. |
| author_facet | Alwan Ahmed H. Falh Mohammedreda N. |
| author_sort | Alwan Ahmed H. |
| collection | DOAJ |
| description | In this work, we define tg-radical supplemented modules and cofinitely tg-radical supplemented modules. We investigate some properties of these modules. In addition, we present examples separating the tg-radical supplemented modules, g-supplemented modules, and ⊕-g-Rad-supplemented modules and also show the equality of these modules for projective and finitely generated modules. We give a characterization of cofinitely tg-radical supplemented modules. Furthermore, for any ring R, we show that any finite direct sum of tg-radical supplemented R-modules is tg-radical supplemented and that any direct sum of cofinitely tg-radical supplemented R-modules is a cofinitely tg-radical supplemented module. |
| first_indexed | 2024-04-24T10:55:33Z |
| format | Article |
| id | doaj.art-99e2f8fe9cd64fb9a8a33a3f70d9701e |
| institution | Directory Open Access Journal |
| issn | 2117-4458 |
| language | English |
| last_indexed | 2024-04-24T10:55:33Z |
| publishDate | 2024-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | BIO Web of Conferences |
| spelling | doaj.art-99e2f8fe9cd64fb9a8a33a3f70d9701e2024-04-12T07:36:29ZengEDP SciencesBIO Web of Conferences2117-44582024-01-01970016510.1051/bioconf/20249700165bioconf_iscku2024_00165tg-Radical Supplemented ModulesAlwan Ahmed H.0Falh Mohammedreda N.1Department of Mathematics, College of Education for Pure Sciences, University of Thi-QarDepartment of Mathematics, College of Education for Pure Sciences, University of Thi-QarIn this work, we define tg-radical supplemented modules and cofinitely tg-radical supplemented modules. We investigate some properties of these modules. In addition, we present examples separating the tg-radical supplemented modules, g-supplemented modules, and ⊕-g-Rad-supplemented modules and also show the equality of these modules for projective and finitely generated modules. We give a characterization of cofinitely tg-radical supplemented modules. Furthermore, for any ring R, we show that any finite direct sum of tg-radical supplemented R-modules is tg-radical supplemented and that any direct sum of cofinitely tg-radical supplemented R-modules is a cofinitely tg-radical supplemented module.https://www.bio-conferences.org/articles/bioconf/pdf/2024/16/bioconf_iscku2024_00165.pdf |
| spellingShingle | Alwan Ahmed H. Falh Mohammedreda N. tg-Radical Supplemented Modules BIO Web of Conferences |
| title | tg-Radical Supplemented Modules |
| title_full | tg-Radical Supplemented Modules |
| title_fullStr | tg-Radical Supplemented Modules |
| title_full_unstemmed | tg-Radical Supplemented Modules |
| title_short | tg-Radical Supplemented Modules |
| title_sort | tg radical supplemented modules |
| url | https://www.bio-conferences.org/articles/bioconf/pdf/2024/16/bioconf_iscku2024_00165.pdf |
| work_keys_str_mv | AT alwanahmedh tgradicalsupplementedmodules AT falhmohammedredan tgradicalsupplementedmodules |