Algorithm for the complement of orthogonal operations
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Дата
2018-02-15
Автори
Назва журналу
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Видавець
Prague, Czech Republic: COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE
Анотація
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.
Опис
Article in the journal COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE
Ключові слова
orthogonality of operations, retract orthogonality of operations, complement of orthogonality of operations, block-wise recursive algorithm