Moufang loops of odd order .
Rajah, Andrew, Chee, Wing Loon (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Displaying similar documents to “On the universality of central loops.”
Moufang loops of odd order .
Not every Osborn loop is universal.
Jaiyéọlá, T.G., Adéníran, J.O. (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Holomorph of generalized Bol loops II
Tèmítọ́pẹ́ Gbọ́láhàn Jaíyéiọlá, Bolaji Ajibola Popoola (2015)
Discussiones Mathematicae - General Algebra and Applications
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The notion of the holomorph of a generalized Bol loop (GBL) is characterized afresh. The holomorph of a right inverse property loop (RIPL) is shown to be a GBL if and only if the loop is a GBL and some bijections of the loop are right (middle) regular. The holomorph of a RIPL is shown to be a GBL if and only if the loop is a GBL and some elements of the loop are right (middle) nuclear. Necessary and sufficient conditions for the holomorph of a RIPL to be a Bol loop are deduced. Some...
Some remarks on simple Bol loops
Gábor P. Nagy (2008)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we make some remarks on simple Bol loops which were motivated by questions at the LOOPS'07 conference. We also list some open problems on simple loops.
Bol-loops of order
Daniel Wagner, Stefan Wopperer (2007)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this article we construct proper Bol-loops of order using a generalisation of the semidirect product of groups defined by Birkenmeier and Xiao. Moreover we classify the obtained loops up to isomorphism.
A class of non-Moufang Bol loops isomorphic to all their loop isotopes.
V.S. Ramamurthi, B.L. Sharma (1985)
Aequationes mathematicae
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