Please use this identifier to cite or link to this item: https://r.donnu.edu.ua/handle/123456789/2375
Title: Algorithm for the complement of orthogonal operations
Authors: Fryz, Iryna V.
Keywords: orthogonality of operations
retract orthogonality of operations
complement of orthogonality of operations
block-wise recursive algorithm
Issue Date: 15-Feb-2018
Publisher: Prague, Czech Republic: COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE
Series/Report no.: Comment.Math.Univ.Carolin;59,2 (2018) 135–151
Abstract: G. B. Belyavskaya and G. L. Mullen showed the existence of a comple ment for a k-tuple of orthogonal n-ary operations, where k < n, to an n-tuple of orthogonal n-ary operations. But they proposed no method for complementing. In this article, we give an algorithm for complementing a k-tuple of orthogonal n-ary operations to an n-tuple of orthogonal n-ary operations and an algorithm for complementing a k-tuple of orthogonal k-ary operations to an n-tuple of orthogonal n-ary operations. Also we find some estimations of the number of complements.
Description: Article in the journal COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE
URI: https://r.donnu.edu.ua/handle/123456789/2375
ISSN: ISSN 0010-2628
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