Quasigroups, right quasigroups and category coverings
β Scribed by T. S. R. Fuad; J. D. H. Smith
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 690 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0002-5240
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Two connexions between quasigroups and quandles are established. In one direction, Joyce's homogeneous quandle construction is shown to yield a quasigroup isotopic to the loop constructed by Scimemi on the set of @-commutators of a group automorphism @ In the other direction, the universal multiplic
We investigate the question of which weakenings of the associative law imply that a quasigroup is a loop. In particular, we completely settle the question for all Ε½ laws of ''BolαMoufang type'' those written with four variables, three of which are . distinct .