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On commutators of quasigroup congruences. (English)
Authors: Beliavscaia Galina
Abstract
The commutator $[\alpha ,\beta ]$ of (normal) congruences $\alpha $, $\beta $ on a (quasigroup $Q(\cdot )$) primitive quasigroup $Q(\cdot ,\setminus ,/)$ is studied. Different sets of generators for $[\alpha ,\beta ]$ are shown. In more detail, the commutators $[\alpha ,Q^2]$ and $[Q^2,Q^2]$, playing an important role by the investigation of nilpotency and solvability of algebras from congruence modular varieties, are considered.Institutul de Matematică Academia de Ştiinţe a Moldovei
str. Academiei 5, MD-2028 Chişinău, Moldova
str. Academiei 5, MD-2028 Chişinău, Moldova
Contents
- Quasivarieties of commutative Moufang loops without independent basis of quasi-identities. (English)
- Principles of the transition from micro to macro stressed-deformed state. (Russian)
- Global attractors of infinite-dimensional nonautonomous dynamical systems. II. (English)
- LCA groups with topologically simple ring of continuous endomorphisms. (English)
- About the influence of an anisotropic slice properties on the process of its impact strike with a rigid bar. (Russian)
- Mathematical simulation of hypervelocity impact of indentor on space vehicles. (English)
- On realisation of operations on the support of topological boolean algebra with two open elements by means of terms. (English)
- A computation of the solutions for semilinear parabolic problems using implicit Runge-Kutta methods (Radau type). (English)
- On commutators of quasigroup congruences. (English)
- Star polytopes and hyperbolic 3-manifolds. (English)
- A quasigroup with any of Moufang identities is a loop.
- Finiteness of eigenvalues of some integro-differential operators. (English)
- Some characteristics of complete D-groupoids. (English)
- On the greatest lower bound of group topologies. (English)
- About one inequality in the theory of functions. (English)
- An example of ring with non-modular lattice of ring topologies. (English)
