On endo-prime and endo-coprime modules
Hojjat Mostafanasab, Ahmad Yousefian Darani
TL;DR
This paper explores properties and duality connections of endo-prime and endo-coprime modules, generalizing concepts from prime and simple rings, and provides new insights into their structural characteristics.
Contribution
It introduces and analyzes properties of endo-prime and endo-coprime modules, establishing duality-like relationships and extending the understanding of these generalized modules.
Findings
Properties of endo-coprime modules are characterized.
Duality-like connections between endo-prime and endo-coprime modules are established.
New structural insights into generalized prime and simple modules are provided.
Abstract
The aim of this paper is to investigate properties of endo-prime and endo-coprime modules which are generalizations of prime and simple rings, respectively. Various properties of endo-coprime modules are obtained. Duality-like connections are established for endo-prime and endo-coprime modules.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topics in Algebra · Commutative Algebra and Its Applications