Preradicals and characteristic submodules: connections and operations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Preradicals and characteristic submodules: connections and operations
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| Creator |
Kashu, A.I.
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| Description |
For an arbitrary module M∈R-Mod the relation between the lattice Lch(RM) of characteristic (fully invariant) submodules of M and big lattice R-pr of preradicals of R-Mod is studied. Some isomorphic images of Lch(RM) in R-pr are constructed. Using the product and coproduct in R-pr four operations in the lattice Lch(RM) are defined. Some properties of these operations are shown and their relations with the lattice operations in Lch(RM) are investigated. As application the case RM=RR is mentioned, when Lch(RR) is the lattice of two-sided ideals of ring R.
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| Date |
2019-06-15T16:44:19Z
2019-06-15T16:44:19Z 2010 |
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| Type |
Article
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| Identifier |
Preradicals and characteristic submodules: connections and operations / A.I. Kashu // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 2. — С. 59–75. — Бібліогр.: 8 назв. — англ.
1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/154603 of2000 Mathematics Subject Classification:16D90, 16S90, 06B23. |
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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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