Preradicals, closure operators in R-Mod and connection between them
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Preradicals, closure operators in R-Mod and connection between them
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| Creator |
Kashu, A.I.
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| Description |
For a module category R-Mod the class PR of preradicals and the class CO of closure operators are studied. The relations between these classes are realized by three mappings: Φ : CO → PR and Ψ₁, Ψ₂ : PR → CO. The impact of these mappings on the operations in PR and CO (meet, join, product, coproduct) is investigated. It is established that in most cases the considered mappings preserve the lattice operations (meet and join), while the other two operations are converted one into another (i.e. the product into the coproduct and vice versa).
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| Date |
2019-06-14T03:26:34Z
2019-06-14T03:26:34Z 2014 |
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| Type |
Article
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| Identifier |
Preradicals, closure operators in R-Mod and connection between them / A.I. Kashu // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 86–96. — Бібліогр.: 6 назв. — англ.
1726-3255 2010 MSC:16D90, 16S90, 06B23. http://dspace.nbuv.gov.ua/handle/123456789/153348 |
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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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