Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On some lattices of quasivarieties of commutative Moufang's loops. (English)
Authors: Ursu V.
Abstract
A collection of commutative finite Moufang's loops are constructed such that the unic maximal subquasivariety in the lattice of the subquasivarieties of the quasivariety, generated by an arbitrary loop from this collection is not generated by a finite loop. It was also proved that the set of all quasivarieties each of them generated by a finite commutative Moufang's loop does not formed a sublattice in the lattice of the of loops.Technical University of Moldova
Stefan cel Mare str. 168, Chisinau, MD-2004 Moldova
Stefan cel Mare str. 168, Chisinau, MD-2004 Moldova
Contents
- Vladimir Aleksandrovich Andrunakievich. A tribute in honor of his 80th birthday.
- Quasiregular algebras, modules, groups and varieties. (Russian)
- A short survey on torsion theories in modules. (English)
- Independence and quasiregularity in algebras. II. (Romanian)
- On strictly semiprime rings. (Russian)
- On the nonmodularity of the lattice of group topologies. (Russian)
- Units, idempotents and nilpotents of an endomorphism ring. II. (English)
- On some lattices of quasivarieties of commutative Moufang's loops. (English)
- The connected component of the group of units of a locally compact ring. (English)
- Prime and primary ideals in near-rings. (English)
- On applications of the extremal words. (English)
- On sh-characteristic submodules. (English)
