Endo Classical 2-Absorbing Second Submodules and Related Concepts

Abstract

In this article, we introduce the concept of endo classical 2-Absorbing second submodule as a new generalization of endo 2-Absorbing second submodule over commutative ring with identity, where a non-zero submodule of ℣ as a ⅅ-module is called endo classical 2-Absorbing second submodule if and is completely irreducible of if whenever ⊆ , implies either ⊆ or ⊆ or ⊆ . These concepts are defined by combining generalized absorbing conditions on second submodule with the action of module endomorphisms. We develop several characterizations and inclusion relations among these classes and examine a number of their algebraic characteristics. There is a thorough discussion of the relationships between endo classical 2-Absorbing second submodule and other related ideas like endo-second submodule, 2-Absorbing second submodule, endo 2-absorbing second submodule, and endo quasi prime second submodule. Furthermore, we investigate the preservation of these qualities under factor modules, sum of submodules, module homomorphic image, and inverse homomorphic image. Conditions under which these concepts