Please use this identifier to cite or link to this item: https://r.donnu.edu.ua/handle/123456789/2383
Title: Invertibility criterion of composition of two multiary quasigroups
Authors: Sokhatsky, Fedir M.
Fryz, Iryna V.
Keywords: quasigroup
composition of operations
orthogonal operations
perpendicular operations
hypercube
perpendicular hypercubes
orthogonality of hypercubes
slice
linear quasigroup
T-quasigroup
Issue Date: 2012
Publisher: Czech Republic: COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE
Series/Report no.: Comment.Math.Univ.Carolin;53,3 (2012) P. 429-445
Abstract: 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 perpendicularity of operations and hypercubes. They differ from the previously introduced notions of orthogonality of operations and hypercubes [G. Belyavskaya, G. Mullen, Orthogonal hypercubes and n-ary operations, Quasigroups Related System 13 (2005), no. 1, 73-86]/ we establish some relations between these notions and give illustrative examples/
Description: Article in the journal COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE (2012)
URI: https://r.donnu.edu.ua/handle/123456789/2383
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