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...
Збережено в:
| Дата: | 2009 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2009
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/154573 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-154573 |
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dspace |
| spelling |
irk-123456789-1545732019-06-16T01:25:29Z On modules over group rings of locally soluble groups for a ring of p -adic integers Dashkova, O.Yu. 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. 2009 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/154573 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Dashkova, O.Yu. |
| spellingShingle |
Dashkova, O.Yu. On modules over group rings of locally soluble groups for a ring of p -adic integers Algebra and Discrete Mathematics |
| author_facet |
Dashkova, O.Yu. |
| author_sort |
Dashkova, O.Yu. |
| title |
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_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_sort |
on modules over group rings of locally soluble groups for a ring of p -adic integers |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/154573 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT dashkovaoyu onmodulesovergroupringsoflocallysolublegroupsforaringofpadicintegers |
| first_indexed |
2023-05-20T17:38:50Z |
| last_indexed |
2023-05-20T17:38:50Z |
| _version_ |
1796153771364974592 |