The dual notion of morphic modules over commutative rings

TL;DR

This paper introduces and investigates the dual concept of morphic modules over commutative rings, expanding the theoretical framework of module theory.

Contribution

It defines and explores the properties of dual morphic modules, a novel concept in the study of modules over commutative rings.

Findings

Established foundational properties of dual morphic modules.

Compared dual morphic modules with classical morphic modules.

Provided initial results on the structure and examples of dual morphic modules.

Abstract

Let R be a commutative ring with identity and M be an R-module. The purpose of this paper is to introduce and investigate the dual notion of morphic modules over a commutative ring.