Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators)
This work is a continuation of the paper [1] (Part I), in which the weakly hereditary and idempotent closure operators of the category R-Mod are described. Using the results of [1], in this part the other classes of closure operators C are characterized by the associated functions F₁с and F₂с which...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2013 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152310 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators) / A.I. Kashu // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 81–95. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862594262300884992 |
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| author | Kashu, A.I. |
| author_facet | Kashu, A.I. |
| citation_txt | Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators) / A.I. Kashu // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 81–95. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | This work is a continuation of the paper [1] (Part I), in which the weakly hereditary and idempotent closure operators of the category R-Mod are described. Using the results of [1], in this part the other classes of closure operators C are characterized by the associated functions F₁с and F₂с which separate in every module M ∈ R-Mod the sets of C-dense submodules and C-closed submodules. This method is applied to the classes of hereditary, maximal, minimal and cohereditary closure operators.
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| first_indexed | 2025-11-27T11:38:32Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152310 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-27T11:38:32Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kashu, A.I. 2019-06-09T17:17:44Z 2019-06-09T17:17:44Z 2013 Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators) / A.I. Kashu // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 81–95. — Бібліогр.: 9 назв. — англ. 1726-3255 2010 MSC:16D90, 16S90, 06B23. https://nasplib.isofts.kiev.ua/handle/123456789/152310 This work is a continuation of the paper [1] (Part I), in which the weakly hereditary and idempotent closure operators of the category R-Mod are described. Using the results of [1], in this part the other classes of closure operators C are characterized by the associated functions F₁с and F₂с which separate in every module M ∈ R-Mod the sets of C-dense submodules and C-closed submodules. This method is applied to the classes of hereditary, maximal, minimal and cohereditary closure operators. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators) Article published earlier |
| spellingShingle | Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators) Kashu, A.I. |
| title | Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators) |
| title_full | Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators) |
| title_fullStr | Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators) |
| title_full_unstemmed | Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators) |
| title_short | Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators) |
| title_sort | closure operators in the categories of modules. part ii (hereditary and cohereditary operators) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152310 |
| work_keys_str_mv | AT kashuai closureoperatorsinthecategoriesofmodulespartiihereditaryandcohereditaryoperators |