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 SM ISO690:2012DERIYENKO, Ivan, DUDEK, Wieslaw. D-loops. In: Quasigroups and Related Systems, 2012, vol. 20, nr. 2(28), pp. 183-196. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 20, Numărul 2(28) / 2012 / ISSN 1561-2848 | ||||||
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| Pag. 183-196 | ||||||
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D-loops are loops with the antiautomorphic inverse property. The class of such loops is larger than the class of IP-loops. The smallest D-loops which is not an IP-loop has six elements. We prove several basic properties of such loops and present methods of constructions of D-loops from IP-loops. Unfortunately, a loop isotopic to a D-loop may not be a D-loop. |
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| Cuvinte-cheie quasigroup, loop, D-loop, antiautomorphic inverse property, track |
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