Successively orthogonal systems of k-ary operations
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BELYAVSKAYA, Galina. Successively orthogonal systems of k-ary operations. In: Quasigroups and Related Systems, 2014, vol. 22, nr. 2(32), pp. 165-178. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 22, Numărul 2(32) / 2014 / ISSN 1561-2848

Successively orthogonal systems of k-ary operations

Pag. 165-178

Belyavskaya Galina
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 6 mai 2016


Rezumat

Systems of k-ary operations, k > 2, generalizing orthogonal sets are considered. These systems have the following property: every k successive k-ary operations of the system are orthogonal. We call these systems successively orthogonal, establish some properties, give examples and methods of construction of these systems.