Browsing by Author "Fryz, Iryna V."

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  • Algorithm for the complement of orthogonal operations 
    Fryz, Iryna V. (Prague, Czech Republic: COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2018-02-15)
    G. B. Belyavskaya and G. L. Mullen showed the existence of a comple ment for a k-tuple of orthogonal n-ary operations, where k < n, to an n-tuple of orthogonal n-ary operations. But they proposed no method for complementing. In ...
  • Block composition algorithm for constructing orthogonal n-ary operations 
    Fryz, Iryna V.; Sokhatsky, Fedir M. (journal homepage: www.elsevier.com/locate/disc, 2017-08-09)
    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. ...
  • Invertibility criterion of composition of two multiary quasigroups 
    Sokhatsky, Fedir M.; Fryz, Iryna V. (Czech Republic: COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2012)
    We study the Invertibility of operations that are a composition of two operations of arbitrary arities. We find the criterion for quasigroups and specifications for T-quasigroups. For this purpose, we introduce notions of ...