Closure operators in the categories of modules Part II (Hereditary and cohereditary operators)

• Date: 2018
• Main Author: Kashu, A. I.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: ring; module; preradical; closure operator; dense submodule; closed submodule; hereditary ( cohereditary) closure operator; 16D90; 16S90; 06B23
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/757
• Journal Title: Algebra and Discrete Mathematics

This work is a continuation of the paper [1] (Part I), in which the weakly hereditary and idempotent closure operators of the category \(R\)-Mod are described. Using the results of [1], in this part the other classes of closure operators \(C\) are characterized by the associated functions \(\mathcal...