Title: Fuzzy Soc-Small T-ABSO Submodules and Related Concepts
Authors: Mustafa B. Salman and Wafaa H. Hanoon
Volume: 7
Issue: 1
Pages: 40-51
Publication Date: 2023/01/28
Abstract:
In this work, the interaction between the fuzzy small-T-ABSO submodule, small prime submodule, and fuzzy socle are compared. We provide two new concepts fuzzy socle small prime submodule and fuzzy socle small T-ABSO submodule to address this question. The research uncovered a number of traits that supported the novel theories. Using simple algebraic methods, it is also discovered that fuzzy socle small T-ABSO and fuzzy socle T-ABSO have a link, for fuzzy direct sum and homomorphic images, in additione, we looked into the fuzzy socle smallT-ABSO submodule structure. The compatibility of fuzzy socle small T-ABSO submodule with other fuzzy submodule kinds is also discussed. The results of this study are crucial for defining a new fuzzy socle small TABSO.