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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2004 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2004
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| Online Zugang: | 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 |
| Zitieren: | 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. |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On autotopies and automorphisms of n-ary linear quasigroups |
| spellingShingle |
On autotopies and automorphisms of n-ary linear quasigroups Marini, A. Shcherbacov, V. |
| 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 |
| author |
Marini, A. Shcherbacov, V. |
| author_facet |
Marini, A. Shcherbacov, V. |
| publishDate |
2004 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT marinia onautotopiesandautomorphismsofnarylinearquasigroups AT shcherbacovv onautotopiesandautomorphismsofnarylinearquasigroups |
| first_indexed |
2025-12-07T18:20:12Z |
| last_indexed |
2025-12-07T18:20:12Z |
| _version_ |
1850874645632253953 |