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519.144+519.17 (1) |
Analiză combinatorică. Teoria grafurilor (114) |
SM ISO690:2012 GIULIANI, Maria-de-Lourdes-Merlini, ANJOS, Giliard-Souza, COLBOURN, Charles. Steiner loops satisfying the statement of Moufang's theorem. In: Quasigroups and Related Systems, 2016, vol. 24, nr. 1(35), pp. 103-108. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 24, Numărul 1(35) / 2016 / ISSN 1561-2848 | ||||||
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CZU: 519.144+519.17 | ||||||
Pag. 103-108 | ||||||
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Andrew Rajah posed at the Loops'11 Conference in Trest, Czech Republic, the following conjecture: Is every variety of loops that satis_es Moufang's theorem contained in the variety of Moufang loops? This paper is motivated by that problem. We give a partial answer to this question and present two types of Steiner loops, one that satis_es Moufang's theorem and another that does not, and neither is Moufang loop. |
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