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

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• Main Author: Kashu, A.I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152310
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators) / A.I. Kashu // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 81–95. — Бібліогр.: 9 назв. — англ.

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 F₁с and F₂с which...