Orthogonal complements of ternary operations.
DOI:
https://doi.org/10.31558/1817-2237.2017.1-2.10Keywords:
invertible operation (quasigroup), orthogonal operations, retractly orthogonal operations, orthogonal complement, complete operationAbstract
In the article, we describe methods for construction of orthogonal ternary operations, and we study algorithms of finding orthogonal complements of a complete ternary operation and a pair of orthogonal ternary operations to a triplet of orthogonal ternary operations. We give a complete classification of recursive algorithms for construction of orthogonal ternary operations.
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