Block composition algorithm for constructing orthogonal n-ary operations

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dc.contributor.authorFryz, Iryna V.
dc.contributor.authorSokhatsky, Fedir M.
dc.date.accessioned2022-09-09T09:24:13Z
dc.date.available2022-09-09T09:24:13Z
dc.date.issued2017-08-09
dc.descriptionArticle 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 2016en_US
dc.description.abstractWe 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.identifier.urihttp://dx.doi.org/10.1016/j.disc.2016.11.012
dc.identifier.urihttps://r.donnu.edu.ua/handle/123456789/2373
dc.language.isoenen_US
dc.publisherjournal homepage: www.elsevier.com/locate/discen_US
dc.relation.ispartofseriesDiscrete Mathematics;Volume 340, Issue 8, August 2017, Pages 1957-1966
dc.subjectOrthogonality of operationsen_US
dc.subjectRetract orthogonality of operationsen_US
dc.subjectComposition algorithmen_US
dc.subjectBlock-wise recursive algorithmen_US
dc.subjectBlock composition algorithmen_US
dc.titleBlock composition algorithm for constructing orthogonal n-ary operationsen_US
dc.typeArticleen_US
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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
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