Block composition algorithm for constructing orthogonal n-ary operations

Fryz, Iryna V.; Sokhatsky, Fedir M.

dc.contributor.author	Fryz, Iryna V.
dc.contributor.author	Sokhatsky, Fedir M.
dc.date.accessioned	2022-09-09T09:24:13Z
dc.date.available	2022-09-09T09:24:13Z
dc.date.issued	2017-08-09
dc.identifier.uri	http://dx.doi.org/10.1016/j.disc.2016.11.012
dc.identifier.uri	https://r.donnu.edu.ua/handle/123456789/2373
dc.description	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	en_US
dc.description.abstract	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.	en_US
dc.language.iso	en	en_US
dc.publisher	journal homepage: www.elsevier.com/locate/disc	en_US
dc.relation.ispartofseries	Discrete Mathematics;Volume 340, Issue 8, August 2017, Pages 1957-1966
dc.subject	Orthogonality of operations	en_US
dc.subject	Retract orthogonality of operations	en_US
dc.subject	Composition algorithm	en_US
dc.subject	Block-wise recursive algorithm	en_US
dc.subject	Block composition algorithm	en_US
dc.title	Block composition algorithm for constructing orthogonal n-ary operations	en_US
dc.type	Article	en_US