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 some isotopes of these quasigroups....
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| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2004 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156416 |
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| 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-156416 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1564162019-06-19T01:26:06Z On autotopies and automorphisms of n-ary linear quasigroups Marini, A. Shcherbacov, V. 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. 2004 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/156416 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 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. |
| format |
Article |
| author |
Marini, A. Shcherbacov, V. |
| spellingShingle |
Marini, A. Shcherbacov, V. On autotopies and automorphisms of n-ary linear quasigroups Algebra and Discrete Mathematics |
| author_facet |
Marini, A. Shcherbacov, V. |
| author_sort |
Marini, A. |
| title |
On autotopies and automorphisms of n-ary linear quasigroups |
| title_short |
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_sort |
on autotopies and automorphisms of n-ary linear quasigroups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2004 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156416 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT marinia onautotopiesandautomorphismsofnarylinearquasigroups AT shcherbacovv onautotopiesandautomorphismsofnarylinearquasigroups |
| first_indexed |
2023-05-20T17:49:33Z |
| last_indexed |
2023-05-20T17:49:33Z |
| _version_ |
1796154187854118912 |