Fuzzy Soc-T-ABSO Sub-Modules
This research analyses the correlation that exists between fuzzy T-ABSO and fuzzy socle. To answer this question, we define a new concept called, fuzzy socle T-ABSO submodules. Results showed many properties that satisfied the new notion. In addition, we applied some algebra operations and found th...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
College of Education, Al-Iraqia University
2022-01-01
|
| Series: | Iraqi Journal for Computer Science and Mathematics |
| Subjects: | |
| Online Access: | https://journal.esj.edu.iq/index.php/IJCM/article/view/358 |
| _version_ | 1797647549206626304 |
|---|---|
| author | Saad Saleem Hatam Y. Khalaf |
| author_facet | Saad Saleem Hatam Y. Khalaf |
| author_sort | Saad Saleem |
| collection | DOAJ |
| description |
This research analyses the correlation that exists between fuzzy T-ABSO and fuzzy socle. To answer this question, we define a new concept called, fuzzy socle T-ABSO submodules. Results showed many properties that satisfied the new notion. In addition, we applied some algebra operations and found the relationship between fuzzy T-ABSO and fuzzy socle -T-ABSO. We also investigated the structure of fuzzy socle T-ABSO sub-modules of a module under fuzzy direct sum, homomorphic image and intersection. Moreover, the relation between fuzzy socle T-ABSO sub-module and other types of fuzzy sub-module was presented. The implications of this study could be used to define new concepts that depend on fuzzy socle T-ABSO concepts.
|
| first_indexed | 2024-03-11T15:19:07Z |
| format | Article |
| id | doaj.art-62e1d0c12d6d4a2a98bf2967c550874a |
| institution | Directory Open Access Journal |
| issn | 2958-0544 2788-7421 |
| language | English |
| last_indexed | 2024-03-11T15:19:07Z |
| publishDate | 2022-01-01 |
| publisher | College of Education, Al-Iraqia University |
| record_format | Article |
| series | Iraqi Journal for Computer Science and Mathematics |
| spelling | doaj.art-62e1d0c12d6d4a2a98bf2967c550874a2023-10-29T06:16:25ZengCollege of Education, Al-Iraqia UniversityIraqi Journal for Computer Science and Mathematics2958-05442788-74212022-01-013110.52866/ijcsm.2022.01.01.014326Fuzzy Soc-T-ABSO Sub-ModulesSaad Saleem0Hatam Y. Khalaf1Department of Mathematics , College of Education for Pure Science Ibn - Al - Haitham, University of Baghdad, IraqDepartment of Mathematics , College of Education for Pure Science Ibn - Al - Haitham, University of Baghdad, Iraq This research analyses the correlation that exists between fuzzy T-ABSO and fuzzy socle. To answer this question, we define a new concept called, fuzzy socle T-ABSO submodules. Results showed many properties that satisfied the new notion. In addition, we applied some algebra operations and found the relationship between fuzzy T-ABSO and fuzzy socle -T-ABSO. We also investigated the structure of fuzzy socle T-ABSO sub-modules of a module under fuzzy direct sum, homomorphic image and intersection. Moreover, the relation between fuzzy socle T-ABSO sub-module and other types of fuzzy sub-module was presented. The implications of this study could be used to define new concepts that depend on fuzzy socle T-ABSO concepts. https://journal.esj.edu.iq/index.php/IJCM/article/view/358F -T-ABSO sub-module, Socle of F-module |
| spellingShingle | Saad Saleem Hatam Y. Khalaf Fuzzy Soc-T-ABSO Sub-Modules Iraqi Journal for Computer Science and Mathematics F -T-ABSO sub-module, Socle of F-module |
| title | Fuzzy Soc-T-ABSO Sub-Modules |
| title_full | Fuzzy Soc-T-ABSO Sub-Modules |
| title_fullStr | Fuzzy Soc-T-ABSO Sub-Modules |
| title_full_unstemmed | Fuzzy Soc-T-ABSO Sub-Modules |
| title_short | Fuzzy Soc-T-ABSO Sub-Modules |
| title_sort | fuzzy soc t abso sub modules |
| topic | F -T-ABSO sub-module, Socle of F-module |
| url | https://journal.esj.edu.iq/index.php/IJCM/article/view/358 |
| work_keys_str_mv | AT saadsaleem fuzzysoctabsosubmodules AT hatamykhalaf fuzzysoctabsosubmodules |