Successively orthogonal systems of k-ary operations and their transformations
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BELYAVSKAYA, Galina. Successively orthogonal systems of k-ary operations and their transformations. In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 14-17. ISBN 978-9975-68-244-2.
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Conference of Mathematical Society of the Republic of Moldova
3, 2014
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chișinău, Moldova, 19-23 august 2014

Successively orthogonal systems of k-ary operations and their transformations

Pag. 14-17

Belyavskaya Galina
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 7 octombrie 2017


Rezumat

In this article 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, suggest methods of construction and consider admissible transformations of these systems.

Cuvinte-cheie
k-ary operation, orthogonal set of k-ary operations,

k-ary quasigroup