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...
Збережено в:
| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2007 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/157341 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-157341 |
|---|---|
| record_format |
dspace |
| spelling |
Artemovych, O.D. Kravets, I.V. 2019-06-20T02:41:32Z 2019-06-20T02:41:32Z 2007 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 https://nasplib.isofts.kiev.ua/handle/123456789/157341 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. Dedicated to V.I. Sushchansky on the occasion of his 60th birthday en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Groups associated with modules over nearrings Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Groups associated with modules over nearrings |
| spellingShingle |
Groups associated with modules over nearrings Artemovych, O.D. Kravets, I.V. |
| 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 |
| author |
Artemovych, O.D. Kravets, I.V. |
| author_facet |
Artemovych, O.D. Kravets, I.V. |
| publishDate |
2007 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT artemovychod groupsassociatedwithmodulesovernearrings AT kravetsiv groupsassociatedwithmodulesovernearrings |
| first_indexed |
2025-11-30T16:38:51Z |
| last_indexed |
2025-11-30T16:38:51Z |
| _version_ |
1850858139679719424 |