Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators)
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators)
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| Creator |
Kashu, A.I.
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| 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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| Date |
2019-06-09T17:17:44Z
2019-06-09T17:17:44Z 2013 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/152310 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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