Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
A note on Belousov quasigroups
Authors: A. Krapez
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Abstract
A Belousov identity is a balanced identity which is a consequence of commutativity. It is proved that a quasigroup is Belousov iff it has a permutation satisfying (xy)=yx and a weak (anti)automorphism--like property depending on Belousov identities the quasigroup satisfies.Fulltext
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Contents
- On central loops and the central square property
- Intuitionistic (S,T)-fuzzy Lie ideals of Lie algebras
- Fuzzy (strong) congruence relations on hypergroupoids and hyper BCK-algebras pp.
- Subdirectly irreducible sloops and SQS-skeins
- S-systems of n-ary quasigroups
- Double Ward quasigroups
- Short identities implying a quasigroup is a loop or group
- Biembeddings of Latin squares of side 8
- Fuzzy ideals in ordered semigroups
- A note on Belousov quasigroups
- A note on an Abel-Grassmann 3-band
- Decompositions of an AG*-groupoids
- On finite quasigroups whose subquasigroup lattices are distributive
