Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On definitions of groupoids closely connected with quasigroups.
Authors: Şcerbacov Victor
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Abstract
Both "existential" and "equational" definitions of binary quasigroups and groupoids closely connected with quasigroups are given. It is proved that a groupoid (Q, ·) is a quasigroup if and only if all middle translations of (Q, ·) are bijective maps of the set Q.E-mail:
Fulltext
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Contents
- Properties of accessible subrings of topological rings when taking quotient rings.
- Identities with permutations associated with quasigroups isotopic to groups.
- On natural and conatural sets of left ideals of a ring.
- Locicaly separable algebras in varieties of algebras.
- On definitions of groupoids closely connected with quasigroups.
- Radicals of Morita rings revisited.
- Isomorphism of the factor powers of finite groups.
- On torsionfree LCA groups with commutative rings of continuous endomorphisms.
- Crossed-inverse-property groupoids.
- An abstract approach to the study of derivation mappings on non-commutative rings.
- Quasivarieties of Commutative Solvable Moufang loops.
- On description of some radical filters of noetherian rings.
