On modules over group rings of locally soluble groups for a ring of p -adic integers
The author studies the Zp∞G-module A such that Zp∞ is a ring of p-adic integers, a group G is locally soluble, the quotient module A/CA(G) is not Artinian Zp∞-module, and the system of all subgroups H≤G for which the quotient modules A/CA(H) are not Artinian Zp∞-modules satisfies the minimal conditi...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2009 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154573 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On modules over group rings of locally soluble groups for a ring of p
 -adic integers / O. Yu. Dashkova
 // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 32–43. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862550330278936576 |
|---|---|
| author | Dashkova, O.Yu. |
| author_facet | Dashkova, O.Yu. |
| citation_txt | On modules over group rings of locally soluble groups for a ring of p
 -adic integers / O. Yu. Dashkova
 // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 32–43. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | The author studies the Zp∞G-module A such that Zp∞ is a ring of p-adic integers, a group G is locally soluble, the quotient module A/CA(G) is not Artinian Zp∞-module, and the system of all subgroups H≤G for which the quotient modules A/CA(H) are not Artinian Zp∞-modules satisfies the minimal condition on subgroups. It is proved that the group G under consideration is soluble and some its properties are obtained.
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| first_indexed | 2025-11-25T20:40:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154573 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T20:40:34Z |
| publishDate | 2009 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Dashkova, O.Yu. 2019-06-15T16:34:37Z 2019-06-15T16:34:37Z 2009 On modules over group rings of locally soluble groups for a ring of p
 -adic integers / O. Yu. Dashkova
 // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 32–43. — Бібліогр.: 9 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20F19; 20H25. https://nasplib.isofts.kiev.ua/handle/123456789/154573 The author studies the Zp∞G-module A such that Zp∞ is a ring of p-adic integers, a group G is locally soluble, the quotient module A/CA(G) is not Artinian Zp∞-module, and the system of all subgroups H≤G for which the quotient modules A/CA(H) are not Artinian Zp∞-modules satisfies the minimal condition on subgroups. It is proved that the group G under consideration is soluble and some its properties are obtained. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On modules over group rings of locally soluble groups for a ring of p -adic integers Article published earlier |
| spellingShingle | On modules over group rings of locally soluble groups for a ring of p -adic integers Dashkova, O.Yu. |
| title | On modules over group rings of locally soluble groups for a ring of p -adic integers |
| title_full | On modules over group rings of locally soluble groups for a ring of p -adic integers |
| title_fullStr | On modules over group rings of locally soluble groups for a ring of p -adic integers |
| title_full_unstemmed | On modules over group rings of locally soluble groups for a ring of p -adic integers |
| title_short | On modules over group rings of locally soluble groups for a ring of p -adic integers |
| title_sort | on modules over group rings of locally soluble groups for a ring of p -adic integers |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154573 |
| work_keys_str_mv | AT dashkovaoyu onmodulesovergroupringsoflocallysolublegroupsforaringofpadicintegers |