Isotopes of some special quasigroup varieties
β Scribed by E. Falconer
- Publisher
- Akadmiai Kiad
- Year
- 1971
- Tongue
- English
- Weight
- 377 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1588-2632
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π SIMILAR VOLUMES
In this paper we deΓΏne an inΓΏnite family of varieties of algebraic quasigroups, where for m ΒΏ 3 the variety Vm satisΓΏes a particular set of deΓΏning identities Im. It is shown that the ΓΏnite members of Vm are precisely the quasigroups that can be obtained via a standard construction from certain deco
For m = 6 and for all odd composite integers m, as well as for all even integers m > 10 that satisfy certain conditions, 2-poffect m-cycle systems are constructed whose quasigroups have a homomorphism onto qnasigroups which do not correspond to a 2-perfect m-cycle systems. Thus it is shown that for