| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 669 1 |
| Ultima descărcare din IBN: 2019-01-28 09:15 |
| Căutarea după subiecte similare conform CZU |
| 512.548 (81) |
| Algebră (410) |
 SM ISO690:2012KRAPEZ, Aleksandar, ZORAN, Petric. A note on semisymmetry. In: Quasigroups and Related Systems, 2017, vol. 25, nr. 2(37), pp. 269-278. ISSN 1561-2848. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Quasigroups and Related Systems |
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| Volumul 25, Numărul 2(37) / 2017 / ISSN 1561-2848 | ||||||
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| CZU: 512.548 | ||||||
| MSC 2010: 20N05,18A40,18A22 | ||||||
| Pag. 269-278 | ||||||
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| Rezumat | ||||||
J.D.H. Smith showed how to replace homotopies between quasigroups by homomorphism between semisymmetric quasigroups. This is a semisymmetrization and it replaces a quasigroup by a semisymmetric structure de_ned on its Cartesian cube. The reason for a semisymmetrization is that homomorphisms behave more regularly than homotopies. A thorough survey of properties of Smith's semisymmetrization is given in this paper. Also, new semisymmetrizations, which replace a quasigroup by semisymmetric structures de_ned on its Cartesian square are suggested. |
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| Cuvinte-cheie quasigroup, semisymmetrization, homotopy, variety, Category, functor, adjunction, emb edding, monadicadjunction.Workonthispap erwassupp ortedbytheMinistryofEducationandScienceofSerbiathroughgrantsON174008( rstauthor)andON174026(b othauthors). |
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