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: R-Mod → S-Mod and T : S-Mod → R-Mod. Two mappings are defined which ensure the transition between the clo...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2018 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188350 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862542400184909824 |
|---|---|
| author | Kashu, A.I. |
| author_facet | Kashu, A.I. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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: 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.
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| first_indexed | 2025-11-24T19:08:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188350 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T19:08:33Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kashu, A.I. 2023-02-23T19:30:59Z 2023-02-23T19:30:59Z 2018 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. 1726-3255 2010 MSC: 16D90, 16S90. https://nasplib.isofts.kiev.ua/handle/123456789/188350 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Closure operators in modules and adjoint functors, I Article published earlier |
| spellingShingle | Closure operators in modules and adjoint functors, I Kashu, A.I. |
| title | 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_short | Closure operators in modules and adjoint functors, I |
| title_sort | closure operators in modules and adjoint functors, i |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188350 |
| work_keys_str_mv | AT kashuai closureoperatorsinmodulesandadjointfunctorsi |