Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators)
In this work the closure operators of a category of modules R-Mod are studied. Every closure operator C of R-Mod defines two functions F₁с and F₂с, which in every module M distinguish the set of C-dense submodules F₁с(M) and the set of C-closed submodules F₂с(M). By means of these functions three ty...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| 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/123456789/152290 |
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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 I (Weakly hereditary and idempotent operators) / A.I. Kashu // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 213–228. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862715316508819456 |
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| author | Kashu, A.I. |
| author_facet | Kashu, A.I. |
| citation_txt | Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators) / A.I. Kashu // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 213–228. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In this work the closure operators of a category of modules R-Mod are studied. Every closure operator C of R-Mod defines two functions F₁с and F₂с, which in every module M distinguish the set of C-dense submodules F₁с(M) and the set of C-closed submodules F₂с(M). By means of these functions three types of closure operators are described: 1) weakly hereditary; 2) idempotent; 3) weakly hereditary and idempotent.
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| first_indexed | 2025-12-07T17:57:29Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152290 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:57:29Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kashu, A.I. 2019-06-09T15:31:29Z 2019-06-09T15:31:29Z 2013 Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators) / A.I. Kashu // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 213–228. — Бібліогр.: 10 назв. — англ. 1726-3255 2010 MSC:16D90, 16S90, 06B23. https://nasplib.isofts.kiev.ua/handle/123456789/152290 In this work the closure operators of a category of modules R-Mod are studied. Every closure operator C of R-Mod defines two functions F₁с and F₂с, which in every module M distinguish the set of C-dense submodules F₁с(M) and the set of C-closed submodules F₂с(M). By means of these functions three types of closure operators are described: 1) weakly hereditary; 2) idempotent; 3) weakly hereditary and idempotent. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators) Article published earlier |
| spellingShingle | Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators) Kashu, A.I. |
| title | Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators) |
| title_full | Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators) |
| title_fullStr | Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators) |
| title_full_unstemmed | Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators) |
| title_short | Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators) |
| title_sort | closure operators in the categories of modules. part i (weakly hereditary and idempotent operators) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152290 |
| work_keys_str_mv | AT kashuai closureoperatorsinthecategoriesofmodulespartiweaklyhereditaryandidempotentoperators |