Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Near-totally conjugate orthogonal quasigroups
Authors: Beliavscaia Galina, T. V. Popovich
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Abstract
The near-totally conjugate orthogonal quasigroups (near-$totCO$-qua\-si\-gro\-ups), i.\,e., quasigroups for which there exist five (but there are no six) pairwise orthogonal conjugates, are studied. We consider six types of such quasigroups, connection between them and prove that for any integer $n\geq 7$ which is relatively prime to 2, 3 and 5 there exist near-$totCO$-quasigroups of order $n$ of any type. Three types of conjugate orthogonality graphs, associated with these quasigroups are characterized.G. B. Belyavskaya
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
Academiei str. 5, MD-2028, Chisinau
Moldova
E-mail: T. V. Popovich
A. Russo State University
Balti, Moldova
E-mail:
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
Academiei str. 5, MD-2028, Chisinau
Moldova
E-mail: T. V. Popovich
A. Russo State University
Balti, Moldova
E-mail:
Fulltext
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Contents
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- Limits of solutions to the singularly perturbed abstract hyperbolic-parabolic system
- On LCA groups with locally compact rings of continuous endomorphisms. I
- Algorithms for solving stochastic discrete optimal control problems on networks
- Near-totally conjugate orthogonal quasigroups
