Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On Commutativity and Mediality of Polyagroup Cross Isomorphs.
Authors: F.M. Sokhatsky, O.V. Yurevych
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Abstract
The notion of cross isotopy (cross isomorphism) of n-ary operations can be got from the well-known notion of isotopy (isomorphism) by replacing one of its components with a k-ary m-invertible operation [1, 2]. The idea of consideration of cross isotopy belongs to V.D. Belousov [3], who defined it for binary quasigroups. In the paper necessary and sufficient conditions for commutativity and mediality of a polyagroup cross isomorph (when n>2k) are determined. A neutrality criterion of an arbitrary element is stated.E-mail:
Fulltext
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Contents
- Valentin Danilovich Belousov (1925-1988). The issue is a tribute in honor of his 80`th birthday.
- Pairwise orthogonality of n-ary operations.
- On some quasi-identities in finite quasigroups.
- On a small quasi-compactness.
- On the Riemann extension of the G?del space-time metric.
- Some n-ary analogs of the notion of a normalizer of an n-ary subgroup in a group.
- Loops of Bol-Moufang type with a subgroup of index two.
- On identities of Bol-Moufang type.
- A loop transversal in a sharply 2-transitive permutation loop.
- Multiobjective Games and Determining Pareto-Nash Equilibria.
- On Bruck-Belousov Problem.
- On Commutativity and Mediality of Polyagroup Cross Isomorphs.
- Cores of Bol loops and symmetric groupoids.
