Block composition algorithm for constructing orthogonal n-ary operations
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2017-08-09
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Видавець
journal homepage: www.elsevier.com/locate/disc
Анотація
We propose an algorithm for constructing orthogonal n-ary operations which is called
a block composition algorithm here. Input data of the algorithm are two series of differ ent arity operations being distributed by blocks. The algorithm consists of two parts:
composition algorithm for constructing n-ary operations with orthogonal retracts from
given blocks of operations and block-wise recursive algorithm for constructing orthogonal
n-ary operations from obtained operations. Obtained results are illustrated by examples
of orthogonal n-ary operations which are constructible by block-wise recursive algorithm
and non-constructible by the well-known trivial recursive algorithm.
Опис
Article in journal www.elsevier.com/locate/disc. Article history:
Received 22 July 2015 Received in revised form 23 May 2016
Accepted 9 November 2016 Available online 4 December 2016
Ключові слова
Orthogonality of operations, Retract orthogonality of operations, Composition algorithm, Block-wise recursive algorithm, Block composition algorithm