Strongly $\psi $-$2$-absorbing second submodules

TL;DR

This paper introduces the concept of strongly { ext{ extpsi}}-2-absorbing second submodules in modules over commutative rings, generalizing existing notions to deepen the understanding of submodule absorption properties.

Contribution

It defines and explores the properties of strongly { ext{ extpsi}}-2-absorbing second submodules, extending previous concepts in module theory.

Findings

Established foundational properties of strongly { ext{ extpsi}}-2-absorbing second submodules.

Showed how these submodules generalize strongly 2-absorbing second and { ext{ extpsi}}-second submodules.

Provided characterizations and examples illustrating the new concept.

Abstract

Let R be a commutative ring with identity and M be an R-module. The main purpose of this paper is to introduce and investigate the notion of strongly {\psi}-2-absorbing second submodules of M as a generalization of strongly 2-absorbing second and {\psi}-second submodules of M.