Gyrogroups and left gyrogroups as transversals of a special kind
In this article we study gyrogroups and left gyrogroups as transversals in some suitable groups to its subgroups. These objects were introduced into consideration in a connection with an investigation of analogies between symmetries in the classical mechanics and in the relativistic one. The autho...
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| Дата: | 2003 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2003
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155728 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Gyrogroups and left gyrogroups as transversals of a special kind / E. Kuznetsov // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 3. — С. 53–81. — Бібліогр.: 15 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1557282019-06-19T01:27:05Z Gyrogroups and left gyrogroups as transversals of a special kind Kuznetsov, E. In this article we study gyrogroups and left gyrogroups as transversals in some suitable groups to its subgroups. These objects were introduced into consideration in a connection with an investigation of analogies between symmetries in the classical mechanics and in the relativistic one. The author introduce some new notions into consideration (for example, a weak gyrotransversal) and give a full description of left gyrogroups (and gyrogroups) in terms of transversal identities. Also he generalize a construction of a diagonal transversal and obtain a set of new examples of left gyrogroups. 2003 Article Gyrogroups and left gyrogroups as transversals of a special kind / E. Kuznetsov // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 3. — С. 53–81. — Бібліогр.: 15 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20N05, 20N15. http://dspace.nbuv.gov.ua/handle/123456789/155728 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 |
In this article we study gyrogroups and left gyrogroups as transversals in some suitable groups to its subgroups.
These objects were introduced into consideration in a connection
with an investigation of analogies between symmetries in the classical mechanics and in the relativistic one. The author introduce
some new notions into consideration (for example, a weak gyrotransversal) and give a full description of left gyrogroups (and gyrogroups) in terms of transversal identities. Also he generalize a
construction of a diagonal transversal and obtain a set of new examples of left gyrogroups. |
| format |
Article |
| author |
Kuznetsov, E. |
| spellingShingle |
Kuznetsov, E. Gyrogroups and left gyrogroups as transversals of a special kind Algebra and Discrete Mathematics |
| author_facet |
Kuznetsov, E. |
| author_sort |
Kuznetsov, E. |
| title |
Gyrogroups and left gyrogroups as transversals of a special kind |
| title_short |
Gyrogroups and left gyrogroups as transversals of a special kind |
| title_full |
Gyrogroups and left gyrogroups as transversals of a special kind |
| title_fullStr |
Gyrogroups and left gyrogroups as transversals of a special kind |
| title_full_unstemmed |
Gyrogroups and left gyrogroups as transversals of a special kind |
| title_sort |
gyrogroups and left gyrogroups as transversals of a special kind |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2003 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155728 |
| citation_txt |
Gyrogroups and left gyrogroups as transversals of a special kind / E. Kuznetsov // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 3. — С. 53–81. — Бібліогр.: 15 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT kuznetsove gyrogroupsandleftgyrogroupsastransversalsofaspecialkind |
| first_indexed |
2023-05-20T17:47:06Z |
| last_indexed |
2023-05-20T17:47:06Z |
| _version_ |
1796154079442894848 |