Steiner loops satisfying the statement of Moufang's theorem
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519.144+519.17 (1)
Analiză combinatorică. Teoria grafurilor (114)
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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

Steiner loops satisfying the statement of Moufang's theorem
CZU: 519.144+519.17

Pag. 103-108

Giuliani Maria-de-Lourdes-Merlini1, Anjos Giliard-Souza2, Colbourn Charles3
 
1 Universidade Federal de Santa Maria,
2 Universidade Federal do ABC, Santo André ,
3 Arizona State University
 
 
Disponibil în IBN: 3 august 2016


Rezumat

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.