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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 |
| Appears in Collections: | Бібліографічні матеріали |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Sokhatsky_Fryz2012_ Invertibility criterion.pdf | Article in the journal COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE (2012) | 257,44 kB | Adobe PDF | View/Open |
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