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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| Date: | 2013 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2013
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/152290 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |