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| 519.6+519.712+004.021:51 (1) |
| Matematică computațională. Analiză numerică. Programarea calculatoarelor (123) |
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| Știința și tehnologia calculatoarelor. Calculatoare. Procesarea datelor (4184) |
 SM ISO690:2012GAGOLAIII, StephenM.. Describing cyclic extensions of Bol loops. In: Quasigroups and Related Systems, 2015, vol. 23, nr. 1(33), pp. 31-39. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 23, Numărul 1(33) / 2015 / ISSN 1561-2848 | ||||||
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| CZU: 519.6+519.712+004.021:51 | ||||||
| Pag. 31-39 | ||||||
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It was shown in [4] that if a Moufang loop G factorizes as G = NH where N is a normal subloop and H = hui = u3 _ is a cyclic group then the structure of G is determined by the binary operation of N, the intersection N \ H and how u permutes the elements of N as a semi-automorphism of N. Here it is shown that if G is Moufang with H = hui 6= u3 _ or if G is a Bol loop, not necessarily Moufang, then the structure of G is determined by the binary operation of N, the intersection N \H, how u permutes the elements of N and either of the two binary operations x _1 y = (xu)(uny) or x __1 y = (xu_1)(u_1ny) of N. |
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