Classical and strongly classical 2-absorbing second submodules

TL;DR

This paper introduces and explores the properties of classical and strongly classical 2-absorbing second submodules, generalizing existing concepts in module theory over commutative rings.

Contribution

It defines new classes of submodules and investigates their fundamental properties, extending the theory of 2-absorbing second submodules.

Findings

Introduction of classical and strongly classical 2-absorbing second submodules

Basic properties and characterizations established

Generalization of existing 2-absorbing concepts

Abstract

In this paper, we will introduce the concept of classical (resp. strongly classical) 2-absorbing second submodules of modules over a commutative ring as a generalization of 2-absorbing (resp. strongly 2-absorbing) second submodules and investigate some basic properties of these classes of modules.