Groups associated with modules over nearrings
We construct a group D(I, T) associated with the pair (I, T), where I is a nontrivial distributive submodule of a left N-module G, T is a nontrivial subgroup of the unit group U(N) of a right nearring N with an identity element, and find criteria for D(I, T) to be a Frobenius group. We construc...
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| Дата: | 2007 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157341 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Groups associated with modules over nearrings / O.D. Artemovych, I.V. Kravets // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 16–21. — Бібліогр.: 4 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-157341 |
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| record_format |
dspace |
| spelling |
irk-123456789-1573412019-06-21T01:30:14Z Groups associated with modules over nearrings Artemovych, O.D. Kravets, I.V. We construct a group D(I, T) associated with the pair (I, T), where I is a nontrivial distributive submodule of a left N-module G, T is a nontrivial subgroup of the unit group U(N) of a right nearring N with an identity element, and find criteria for D(I, T) to be a Frobenius group. We construct a group D(I, T) associated with the pair (I, T), where I is a nontrivial distributive submodule of a left N-module G, T is a nontrivial subgroup of the unit group U(N) of a right nearring N with an identity element, and find criteria for D(I, T) to be a Frobenius group. 2007 Article Groups associated with modules over nearrings / O.D. Artemovych, I.V. Kravets // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 16–21. — Бібліогр.: 4 назв. — англ. 1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/157341 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 |
We construct a group D(I, T) associated with the
pair (I, T), where I is a nontrivial distributive submodule of a left
N-module G, T is a nontrivial subgroup of the unit group U(N) of
a right nearring N with an identity element, and find criteria for
D(I, T) to be a Frobenius group.
We construct a group D(I, T) associated with the
pair (I, T), where I is a nontrivial distributive submodule of a left
N-module G, T is a nontrivial subgroup of the unit group U(N) of
a right nearring N with an identity element, and find criteria for
D(I, T) to be a Frobenius group. |
| format |
Article |
| author |
Artemovych, O.D. Kravets, I.V. |
| spellingShingle |
Artemovych, O.D. Kravets, I.V. Groups associated with modules over nearrings Algebra and Discrete Mathematics |
| author_facet |
Artemovych, O.D. Kravets, I.V. |
| author_sort |
Artemovych, O.D. |
| title |
Groups associated with modules over nearrings |
| title_short |
Groups associated with modules over nearrings |
| title_full |
Groups associated with modules over nearrings |
| title_fullStr |
Groups associated with modules over nearrings |
| title_full_unstemmed |
Groups associated with modules over nearrings |
| title_sort |
groups associated with modules over nearrings |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157341 |
| citation_txt |
Groups associated with modules over nearrings / O.D. Artemovych, I.V. Kravets // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 16–21. — Бібліогр.: 4 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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AT artemovychod groupsassociatedwithmodulesovernearrings AT kravetsiv groupsassociatedwithmodulesovernearrings |
| first_indexed |
2023-05-20T17:52:30Z |
| last_indexed |
2023-05-20T17:52:30Z |
| _version_ |
1796154293390147584 |