Adjoint functors, preradicals and closure operators in module categories

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• Main Author: Kashu, A.I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188493
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Adjoint functors, preradicals and closure operators in module categories / A.I. Kashu // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 2. — С. 260–277. — Бібліогр.: 11 назв. — англ.

In this article preradicals and closure operators are studied in an adjoint situation, defined by two covariant functors between the module categories R-Mod and S-Mod. The mappings which determine the relationship between the classes of preradicals and the classes of closure operators of these categ...