Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Abelian quasigroups and T-quasigroups
Authors: Beliavscaia Galina
– 0.98 Mb
Abstract
By means of known results with respect to algebras of a congruence modular variety it is proved that abelian (in the sense of McKenzie) quasigroup, i.e. quasigroup coinciding with their centre, are T-quasogroup and conversely.Beliavscaia Galina Ph.D.
departament of quasigroup theory,
Imstitute of Sciences of Moldova,
5, Academiei str.,
Chisinau, 277028,
Moldova
departament of quasigroup theory,
Imstitute of Sciences of Moldova,
5, Academiei str.,
Chisinau, 277028,
Moldova
Fulltext
– 0.98 Mb
Contents
- Abelian quasigroups and T-quasigroups
- One-sided T-quasigroups and irreducible balanced identities
- Transversals in groups. Elementary properties
- Sharply double transitive sets of permutations and loop transversals in S_n
- Osborn's G-loops
- Loops with universal elasticity
- On linear isotopes of cyclic groups
- A common form for autotopies of n-ary groups with the inverse property
