Preradical and kernel functors over categories of S−acts
We concider the big lattices of preradicals and kernel functors over some cathegories of centered S−acts, where S is monoid whit zero. We prove that those big lattices are two elements if and only if monoid S− is groups with zero. A subset of a Rees generated pretorsion theory is a subquantale of qu...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2010 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154585 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Preradical and kernel functors over categories of S−acts / M. Komarnitskiy, R. Oliynyk // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 1. — С. 57–66. — Бібліогр.: 12 назв. — англ. |