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Information × Registration Number 2117U000546, Article popup.category Стаття Title popup.author Fryz Iryna V.Sokhatsky Fedir M. popup.publication 09-08-2017 popup.source_user Донецький національний університет імені Василя Стуса popup.source http://dx.doi.org/10.1016/j.disc.2016.11.012 popup.publisher journal homepage: www.elsevier.com/locate/disc 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 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. popup.nrat_date 2025-01-09 Close