On modules over group rings of soluble groups with commutative ring of scalars
The author studies an RG-module A such that R is a commutative ring, A/CA(G) is not a Noetherian R-module, CG(A)=1, G is a soluble group. The system of all subgroups H≤G, for which the quotient modules A/CA(H) are not Noetherian R-modules, satisfies the maximal condition. This condition is calle...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2010 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154664 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On modules over group rings of soluble groups with commutative ring of scalars / O.Yu. Dashkova // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 51–63. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862720567547789312 |
|---|---|
| author | Dashkova, O.Yu. |
| author_facet | Dashkova, O.Yu. |
| citation_txt | On modules over group rings of soluble groups with commutative ring of scalars / O.Yu. Dashkova // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 51–63. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | The author studies an RG-module A such that R is a commutative ring, A/CA(G) is not a Noetherian R-module, CG(A)=1, G is a soluble group. The system of all subgroups H≤G, for which the quotient modules A/CA(H) are not Noetherian R-modules, satisfies the maximal condition. This condition is called the condition max−nnd. The structure of the group G is described.
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| first_indexed | 2025-12-07T18:26:08Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154664 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| language | English |
| last_indexed | 2025-12-07T18:26:08Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Dashkova, O.Yu. 2019-06-15T17:33:15Z 2019-06-15T17:33:15Z 2010 On modules over group rings of soluble groups with commutative ring of scalars / O.Yu. Dashkova // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 51–63. — Бібліогр.: 8 назв. — англ. 2000 Mathematics Subject Classification:20F16; 20H25. https://nasplib.isofts.kiev.ua/handle/123456789/154664 The author studies an RG-module A such that R is a commutative ring, A/CA(G) is not a Noetherian R-module, CG(A)=1, G is a soluble group. The system of all subgroups H≤G, for which the quotient modules A/CA(H) are not Noetherian R-modules, satisfies the maximal condition. This condition is called the condition max−nnd. The structure of the group G is described. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On modules over group rings of soluble groups with commutative ring of scalars Article published earlier |
| spellingShingle | On modules over group rings of soluble groups with commutative ring of scalars Dashkova, O.Yu. |
| title | On modules over group rings of soluble groups with commutative ring of scalars |
| title_full | On modules over group rings of soluble groups with commutative ring of scalars |
| title_fullStr | On modules over group rings of soluble groups with commutative ring of scalars |
| title_full_unstemmed | On modules over group rings of soluble groups with commutative ring of scalars |
| title_short | On modules over group rings of soluble groups with commutative ring of scalars |
| title_sort | on modules over group rings of soluble groups with commutative ring of scalars |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154664 |
| work_keys_str_mv | AT dashkovaoyu onmodulesovergroupringsofsolublegroupswithcommutativeringofscalars |