Article
Kyungpook Mathematical Journal 2023; 63(1): 15-27
Published online March 31, 2023
Copyright © Kyungpook Mathematical Journal.
Purely Extending Modules and Their Generalizations
Shiv Kumar and Ashok Ji Gupta*
Department of Mathematical Sciences, IIT(B. H. U.) Varanasi-221005, India
E-mail : shivkumar.rs.mat17@itbhu.ac.in and agupta.apm@itbhu.ac.in
Received: June 15, 2021; Revised: December 6, 2022; Accepted: December 6, 2022
A purely extending module is a generalization of an extending module. In this paper, we study several properties of purely extending modules and introduce the notion of purely essentially Baer modules. A module
Keywords: Extending module, Flat module, Purely extending module, Purely Baer module, Purely essentially Baer module