Closure operators in modules and adjoint functors, I

• Published in: Algebra and Discrete Mathematics
• Date: 2018
• Main Author: Kashu, A.I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188350
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Closure operators in modules and adjoint functors, I / A.I. Kashu // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 98-117. — Бібліогр.: 13 назв. — англ.

In the present work the relations between the closure operators of two module categories are investigated in the case when the given categories are connected by two covariant adjoint functors H: R-Mod → S-Mod and T : S-Mod → R-Mod. Two mappings are defined which ensure the transition between the clo...