Invertibility criterion of composition of two multiary quasigroups

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dc.contributor.authorSokhatsky, Fedir M.
dc.contributor.authorFryz, Iryna V.
dc.date.accessioned2022-09-11T09:51:23Z
dc.date.available2022-09-11T09:51:23Z
dc.date.issued2012
dc.descriptionArticle in the journal COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE (2012)en_US
dc.description.abstractWe 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.identifier.urihttps://r.donnu.edu.ua/handle/123456789/2383
dc.language.isoenen_US
dc.publisherCzech Republic: COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAEen_US
dc.relation.ispartofseriesComment.Math.Univ.Carolin;53,3 (2012) P. 429-445
dc.subjectquasigroupen_US
dc.subjectcomposition of operationsen_US
dc.subjectorthogonal operationsen_US
dc.subjectperpendicular operationsen_US
dc.subjecthypercubeen_US
dc.subjectperpendicular hypercubesen_US
dc.subjectorthogonality of hypercubesen_US
dc.subjectsliceen_US
dc.subjectlinear quasigroupen_US
dc.subjectT-quasigroupen_US
dc.titleInvertibility criterion of composition of two multiary quasigroupsen_US
dc.typeArticleen_US
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