Pure essential maximal submodules and pure essential local modules

AIP conference proceedings 2026

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Authors: Omar Hameed Ibrahim, Nuhad S. Al-Mothafar
DOI: 10.1063/5.0318926
Cited by: 0
References: 8

Abstract

At this work, we will go over the notions pure essential maximal-submodules (Pre-max) and pure essential local modules (Pre-local) as a generalization of the concepts of maximal-submodules and local modules. Also, this work will include studying another concept of radical pure essential sub-mod as a generalization of radical. We give the fundamental properties for these concepts. We shall demonstrate some characteristics for these notions.

Fields of Study & Subjects

Rings Modules and Algebras Algebraic structures and combinatorial models Advanced Topics in Algebra

Publication details

Journal / source
AIP conference proceedings
Volume
3393
Pages
070015–070015
Publication date
1 January 2026
Language
EN