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...

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Bibliographic Details
Main Authors: Saad Saleem, Hatam Y. Khalaf
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
Description
Summary: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.
ISSN:2958-0544
2788-7421