Displaying similar documents to “Bol loops with a large left nucleus”

Note on analytic Moufang loops

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.

Polyabelian loops and Boolean completeness

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...