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|Title:||Block composition algorithm for constructing orthogonal n-ary operations|
|Authors:||Fryz, Iryna V.|
Sokhatsky, Fedir M.
|Keywords:||Orthogonality of operations|
Retract orthogonality of operations
Block-wise recursive algorithm
Block composition algorithm
|Publisher:||journal homepage: www.elsevier.com/locate/disc|
|Series/Report no.:||Discrete Mathematics;Volume 340, Issue 8, August 2017, Pages 1957-1966|
|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.|
|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|
|Appears in Collections:||Бібліографічні матеріали|
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|Fryz_Sokhatsky 2017.pdf||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||422,27 kB||Adobe PDF||View/Open|
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