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Quasivarieties of commutative Moufang loops without independent basis of quasi-identities. (English)
Authors: Ursu V.
Abstract
We show, in the class of all communicative Moufang loops, that the smallest non-associative quasivariety containing the class of all abelian groups (from an arbitrary non-associative variety $\frak{M}$) has no cover in the lattice of all quasivarieties (of a quasivariety $\frak{N}\subseteq \frak{M}$) and it has no independent basis of quasi-identities (in $\frak{N}$).Technical University
bd. Stefan cel Mare 168, MD-2004 Chisinau, Moldova
bd. Stefan cel Mare 168, MD-2004 Chisinau, 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)
