Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Conjugate-orthogonality and the complete multiplication group of a quasigroup.
Authors: Beliavscaia Galina, A. Diordiev
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Abstract
In this note we establish connections between the orthogonality of conjugates of a finite or infinite quasigroup and some strictly transitive subsets of the complete multiplication group of this quasigroup. These connections are used for the investigation of orthogonality of distinct airs of conjugates for quasigroups (loops) from some classes. For finite quasigroups the quasiidentities corresponding to orthogonality of pairs of conjugates are given.E-mail: ,
Fulltext
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Contents
- Optimal control for one complex dynamic system.
- Conjugate-orthogonality and the complete multiplication group of a quasigroup.
- The graded Jacobson radical of associative rings.
- Applications of the integral operator to the class of meromorphic functions.
- Global Attractors of Non-autonomous Difference Equations.
- On free topological groups.
- On Topological Groupoids and Multiple Identities.
- The distribution of a planar random evolution with random start point.
- About the solvability of systems of integral equations with different degrees of differences in kernels.
- Nash equilibria in the noncooperative informational extended games.
- Professor Nicolae Vulpe 60th anniversary.
