Nearly Endo Semi T–ABSO Submodules and Related Concepts

Abstract

The interactions of the Endo semi prime submodule, the Endo semil-T-ABSO submodule, and the Jacobson radical are compared in this paper. In order to address the relationship between these notions, we present two concepts: the Nearly Endo semi prime submodule and the Nearly Endo semi T-ABSO submodule. The examination reveals a number of traits that back up the creative notions. The Nearly Endo semi T-ABSO submodule structure is also looked at, and it is demonstrated that the Nearly Endo T-ABSO submodule and the Nearly Endo semi T-ABSO submodule are connected using basic algebraic methods. The Nearly Endo semi T-ABSO submodules compatibility with other submodule kinds is another issue that is covered. The study's findings are critical to the development of a new Nearly Endo semi TABSO submodule.