Weak inverse property loops and some isotopy-isomorphy properties.
Jaíyéọlá, Témìtọ́pẹ́ Gbọ́láhàn, Adéníran, John Olúsọlá (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Jaíyéọlá, Témìtọ́pẹ́ Gbọ́láhàn, Adéníran, John Olúsọlá (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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V. O. Chiboka (2002)
Kragujevac Journal of Mathematics
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Kannappan, Palaniappan (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Eugen Paal (2004)
Commentationes Mathematicae Universitatis Carolinae
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It is explicitly shown how the Lie algebras can be associated with the analytic Moufang loops. The resulting Lie algebra commutation relations are well known from the theory of alternative algebras.
François Lemieux, Cristopher Moore, Denis Thérien (2000)
Commentationes Mathematicae Universitatis Carolinae
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We consider the question of which loops are capable of expressing arbitrary Boolean functions through expressions of constants and variables. We call this property . It is a generalization of functional completeness, and is intimately connected to the computational complexity of various questions about expressions, circuits, and equations defined over the loop. We say that a loop is if it is an iterated affine quasidirect product of Abelian groups; polyabelianness coincides with solvability...