Closure operators in modules and adjoint functors, I
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 \(H\colon R\mbox{-Mod}\longrightarrow S\)-Mod and \(T\colon S\mbox{-Mod} \longrightarrow R\)-Mod. Two map...
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| Datum: | 2018 |
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| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1133 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-11332018-05-17T07:54:05Z Closure operators in modules and adjoint functors, I Kashu, A. I. category of modules, closure operator, adjoint functors, lattice operations 16D90, 16S90 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 \(H\colon R\mbox{-Mod}\longrightarrow S\)-Mod and \(T\colon S\mbox{-Mod} \longrightarrow R\)-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. Lugansk National Taras Shevchenko University 2018-04-27 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1133 Algebra and Discrete Mathematics; Vol 25, No 1 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1133/627 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-05-17T07:54:05Z |
| collection |
OJS |
| language |
English |
| topic |
category of modules closure operator adjoint functors lattice operations 16D90 16S90 |
| spellingShingle |
category of modules closure operator adjoint functors lattice operations 16D90 16S90 Kashu, A. I. Closure operators in modules and adjoint functors, I |
| topic_facet |
category of modules closure operator adjoint functors lattice operations 16D90 16S90 |
| format |
Article |
| author |
Kashu, A. I. |
| author_facet |
Kashu, A. I. |
| author_sort |
Kashu, A. I. |
| title |
Closure operators in modules and adjoint functors, I |
| title_short |
Closure operators in modules and adjoint functors, I |
| title_full |
Closure operators in modules and adjoint functors, I |
| title_fullStr |
Closure operators in modules and adjoint functors, I |
| title_full_unstemmed |
Closure operators in modules and adjoint functors, I |
| title_sort |
closure operators in modules and adjoint functors, i |
| description |
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 \(H\colon R\mbox{-Mod}\longrightarrow S\)-Mod and \(T\colon S\mbox{-Mod} \longrightarrow R\)-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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1133 |
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AT kashuai closureoperatorsinmodulesandadjointfunctorsi |
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2025-07-17T10:36:04Z |
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2025-07-17T10:36:04Z |
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1837890078779637760 |