On autotopies and automorphisms of n-ary linear quasigroups
In this article we study structure of autotopies,
 automorphisms, autotopy groups and automorphism groups of nary linear quasigroups.
 We find a connection between automorphism groups of some
 special kinds of n-ary quasigroups (idempotent quasigroups, loops)
 and som...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2004 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/156416 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On autotopies and automorphisms of n-ary linear quasigroups / A. Marini, V. Shcherbacov // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 59–83. — Бібліогр.: 24 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862719484832251904 |
|---|---|
| author | Marini, A. Shcherbacov, V. |
| author_facet | Marini, A. Shcherbacov, V. |
| citation_txt | On autotopies and automorphisms of n-ary linear quasigroups / A. Marini, V. Shcherbacov // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 59–83. — Бібліогр.: 24 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In this article we study structure of autotopies,
automorphisms, autotopy groups and automorphism groups of nary linear quasigroups.
We find a connection between automorphism groups of some
special kinds of n-ary quasigroups (idempotent quasigroups, loops)
and some isotopes of these quasigroups. In binary case we find
more detailed connections between automorphism group of a loop
and automorphism group of some its isotope. We prove that every
finite medial n-ary quasigroup of order greater than 2 has a nonidentity automorphism group.
We apply obtained results to give some information on automorphism groups of n-ary quasigroups that correspond to the ISSN
code, the EAN code and the UPC code.
|
| first_indexed | 2025-12-07T18:20:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156416 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:20:12Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Marini, A. Shcherbacov, V. 2019-06-18T13:29:58Z 2019-06-18T13:29:58Z 2004 On autotopies and automorphisms of n-ary linear quasigroups / A. Marini, V. Shcherbacov // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 59–83. — Бібліогр.: 24 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20N15, 20N05. https://nasplib.isofts.kiev.ua/handle/123456789/156416 In this article we study structure of autotopies,
 automorphisms, autotopy groups and automorphism groups of nary linear quasigroups.
 We find a connection between automorphism groups of some
 special kinds of n-ary quasigroups (idempotent quasigroups, loops)
 and some isotopes of these quasigroups. In binary case we find
 more detailed connections between automorphism group of a loop
 and automorphism group of some its isotope. We prove that every
 finite medial n-ary quasigroup of order greater than 2 has a nonidentity automorphism group.
 We apply obtained results to give some information on automorphism groups of n-ary quasigroups that correspond to the ISSN
 code, the EAN code and the UPC code. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On autotopies and automorphisms of n-ary linear quasigroups Article published earlier |
| spellingShingle | On autotopies and automorphisms of n-ary linear quasigroups Marini, A. Shcherbacov, V. |
| title | On autotopies and automorphisms of n-ary linear quasigroups |
| title_full | On autotopies and automorphisms of n-ary linear quasigroups |
| title_fullStr | On autotopies and automorphisms of n-ary linear quasigroups |
| title_full_unstemmed | On autotopies and automorphisms of n-ary linear quasigroups |
| title_short | On autotopies and automorphisms of n-ary linear quasigroups |
| title_sort | on autotopies and automorphisms of n-ary linear quasigroups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156416 |
| work_keys_str_mv | AT marinia onautotopiesandautomorphismsofnarylinearquasigroups AT shcherbacovv onautotopiesandautomorphismsofnarylinearquasigroups |