Search academic texts

Information × Registration Number 2112U000226, Article popup.category Стаття Title popup.author Sokhatsky Fedir M.Fryz Iryna V. popup.publication 01-01-2012 popup.source_user Донецький національний університет імені Василя Стуса popup.source https://r.donnu.edu.ua/handle/123456789/2383 popup.publisher Czech Republic: COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE Description Article in the journal 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 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/ popup.nrat_date 2025-01-09 Close