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http://hdl.handle.net/123456789/4493
Title: | Closure operators in modules and adjoint functors |
Authors: | Kashu, A. I. |
Keywords: | category of modules closure operator adjoint functors lattice operations. |
Issue Date: | 2018 |
Publisher: | ДЗ "ЛНУ імені Тараса Шевченка" |
Series/Report no.: | Математичні науки; |
Abstract: | 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 closure operators of categories R-Mod and S-Mod. Some important properties of these mappings are proved. It is shown that the studied mappings are compatible with the order relations and with the main operations. |
Description: | Kashu A. I.Closure operators in modules and adjoint functors / A. I. Kashu // Algebra and Discrete Mathematics. - 2018. - Vol. 25. - Number 1. - Рp. 98-117 |
URI: | http://hdl.handle.net/123456789/4493 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 1 (25). - 2018 |
Files in This Item:
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1133-3178-1-SM.pdf | 470.13 kB | Adobe PDF | View/Open |
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