Some Characterizations of Weakly Pseudo Primary 2-Absorbing Submodules in Terms of some Types of Modules

TL;DR

This paper explores the properties and characterizations of weakly pseudo primary 2-absorbing submodules within various module types, providing new insights into their structure and residuals in commutative ring theory.

Contribution

It offers novel characterizations of weakly pseudo primary 2-absorbing submodules using specific module types like faithful, non-singular, Z-regular, and projective modules.

Findings

Characterizations for multiplication modules

Conditions for residuals to be weakly pseudo primary 2-absorbing ideals

Extension of properties to various module classes

Abstract

All rings are commutative, and all modules are unital. The purpose of this paper is to investigate the characterizations of weakly pseudo primary 2-absorbing sub-module in terms of some types of modules. We provide characterizations for the class of multiplication modules with the help of some types of modules such as faithful, non-singular, Z-regular, and projective modules. Furthermore, we add some conditions to prove the residual of a weakly pseudo primary 2-absorbing sub-module is a weakly pseudo primary 2-absorbing ideal.