Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Finite n-ary medial quasigroups and its automorphism
Authors: Şcerbacov Victor
– 0.35 Mb
Abstract
We prove that any finite medial n-ary quasigroup is isomorphic to the direct product of a medial unipotently-solvable quasigroup and a principal isotope of a medial idempotent quasigroup. For binary case similar theorem was proved by D.C. Murdoch. This theorem gives a possibility to obtain information on automorphism groups of finite n-ary medial quasigroups.V.A.Shcherbacov
Institute of Mathematics
and Computer Science
Academy of Sciences of Moldova
Academiei 5, MD-2028
Moldova.
E-mail:
Institute of Mathematics
and Computer Science
Academy of Sciences of Moldova
Academiei 5, MD-2028
Moldova.
E-mail:
Fulltext
– 0.35 Mb
Contents
- Valentin Danilovich Belousov -- his life and work
- Belousov's papers and books
- Remarks to the first publications of V. D. Belousov
- Parastrophic-orthogonal quasigroups
- Orthogonal hypercubes and n-ary operations
- A new construction of Bol loops: the "odd" case
- Amalgam of a loop over an idempotent quasigroup
- Automorphism group of Chein loops
- Quasigroups with an inverse property and generalized parastrophic identities
- Finite n-ary medial quasigroups and its automorphism
- Conjugate invariant quasigroups
