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

• Дата: 2018
• Автор: Kashu, A. I.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: ring; module; preradical; closure operator; dense submodule; closed submodule; hereditary ( cohereditary) closure operator; 16D90; 16S90; 06B23
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/757
• Назва журналу: 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...