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 relativisti...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2003 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2003
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155728 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862634124511019008 |
|---|---|
| author | Kuznetsov, E. |
| author_facet | Kuznetsov, E. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-11-30T15:32:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155728 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-30T15:32:40Z |
| publishDate | 2003 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kuznetsov, E. 2019-06-17T11:22:33Z 2019-06-17T11:22:33Z 2003 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. https://nasplib.isofts.kiev.ua/handle/123456789/155728 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Gyrogroups and left gyrogroups as transversals of a special kind Article published earlier |
| spellingShingle | Gyrogroups and left gyrogroups as transversals of a special kind Kuznetsov, E. |
| title | 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_short | Gyrogroups and left gyrogroups as transversals of a special kind |
| title_sort | gyrogroups and left gyrogroups as transversals of a special kind |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155728 |
| work_keys_str_mv | AT kuznetsove gyrogroupsandleftgyrogroupsastransversalsofaspecialkind |