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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2010
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| Онлайн доступ: | 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 |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862608514222915584 |
|---|---|
| author | Kashu, A.I. |
| author_facet | Kashu, A.I. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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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| first_indexed | 2025-11-28T17:36:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154603 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-28T17:36:27Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Preradicals and characteristic submodules: connections and operations Kashu, A.I. |
| title | 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_short | Preradicals and characteristic submodules: connections and operations |
| title_sort | preradicals and characteristic submodules: connections and operations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154603 |
| work_keys_str_mv | AT kashuai preradicalsandcharacteristicsubmodulesconnectionsandoperations |