On autotopies and automorphisms of n-ary linear quasigroups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On autotopies and automorphisms of n-ary linear quasigroups
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| Creator |
Marini, A.
Shcherbacov, V. |
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| 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. |
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| Date |
2019-06-18T13:29:58Z
2019-06-18T13:29:58Z 2004 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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