Invertibility criterion of composition of two multiary quasigroups

Sokhatsky, Fedir M.; Fryz, Iryna V.

dc.contributor.author	Sokhatsky, Fedir M.
dc.contributor.author	Fryz, Iryna V.
dc.date.accessioned	2022-09-11T09:51:23Z
dc.date.available	2022-09-11T09:51:23Z
dc.date.issued	2012
dc.identifier.uri	https://r.donnu.edu.ua/handle/123456789/2383
dc.description	Article in the journal COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE (2012)	en_US
dc.description.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/	en_US
dc.language.iso	en	en_US
dc.publisher	Czech Republic: COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE	en_US
dc.relation.ispartofseries	Comment.Math.Univ.Carolin;53,3 (2012) P. 429-445
dc.subject	quasigroup	en_US
dc.subject	composition of operations	en_US
dc.subject	orthogonal operations	en_US
dc.subject	perpendicular operations	en_US
dc.subject	hypercube	en_US
dc.subject	perpendicular hypercubes	en_US
dc.subject	orthogonality of hypercubes	en_US
dc.subject	slice	en_US
dc.subject	linear quasigroup	en_US
dc.subject	T-quasigroup	en_US
dc.title	Invertibility criterion of composition of two multiary quasigroups	en_US
dc.type	Article	en_US