Fuzzy Soc–Semi T–ABSO Modules and Related Conepts

Abstract

In this study, the connection between the fuzzy semi T-ABSO module and the fuzzy socle is compared. In order to address this query, we provide an idea known as fuzzy socle semi-TABSO modules. Several characteristics were found in the research that supported the new theory. Also, using simple algebraic methods, the connection between the fuzzy socle-semi T-ABSO module and fuzzy socle-T-ABSO module was found. Also, we looked into the structure of the fuzzy socle semi-TABSO module for fuzzy direct sum. The connections between the fuzzy socle semi-TABSO module and other fuzzy module types were also discussed as divisible module and comultiplication module. The definition of new fuzzy system semi-TABS concepts will benefit from the research's conclusions.