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 |
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| Datum: | 2013 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2013
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| 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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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators) |
| spellingShingle |
Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators) Kashu, A.I. |
| title_short |
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_sort |
closure operators in the categories of modules. part ii (hereditary and cohereditary operators) |
| author |
Kashu, A.I. |
| author_facet |
Kashu, A.I. |
| publishDate |
2013 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/152310 |
| 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. |
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AT kashuai closureoperatorsinthecategoriesofmodulespartiihereditaryandcohereditaryoperators |
| first_indexed |
2025-11-27T11:38:32Z |
| last_indexed |
2025-11-27T11:38:32Z |
| _version_ |
1850852197742411776 |