Preradicals and characteristic submodules: connections and operations
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...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2010 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154603 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Kashu, A.I. 2019-06-15T16:44:19Z 2019-06-15T16:44:19Z 2010 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 https://nasplib.isofts.kiev.ua/handle/123456789/154603 of2000 Mathematics Subject Classification:16D90, 16S90, 06B23. 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Preradicals and characteristic submodules: connections and operations Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Preradicals and characteristic submodules: connections and operations |
| spellingShingle |
Preradicals and characteristic submodules: connections and operations Kashu, A.I. |
| title_short |
Preradicals and characteristic submodules: connections and operations |
| title_full |
Preradicals and characteristic submodules: connections and operations |
| title_fullStr |
Preradicals and characteristic submodules: connections and operations |
| title_full_unstemmed |
Preradicals and characteristic submodules: connections and operations |
| title_sort |
preradicals and characteristic submodules: connections and operations |
| author |
Kashu, A.I. |
| author_facet |
Kashu, A.I. |
| publishDate |
2010 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154603 |
| citation_txt |
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. |
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AT kashuai preradicalsandcharacteristicsubmodulesconnectionsandoperations |
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2025-11-28T17:36:27Z |
| last_indexed |
2025-11-28T17:36:27Z |
| _version_ |
1850853936437657600 |