On quasivarieties of nilpotent Moufang loops. II

Vasile I. Ursu

Displaying similar documents to “On quasivarieties of nilpotent Moufang loops. II”

On quasivarieties of nilpotent Moufang loops. I

Vasile I. Ursu (2012)

Commentationes Mathematicae Universitatis Carolinae

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In this part the smallest non-abelian quasivarieties for nilpotent Moufang loops are described.

A-loops close to code loops are groups

Aleš Drápal (2000)

Commentationes Mathematicae Universitatis Carolinae

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Let $Q$ be a diassociative A-loop which is centrally nilpotent of class 2 and which is not a group. Then the factor over the centre cannot be an elementary abelian 2-group.

On Moufang A-loops

Jon D. Phillips (2000)

Commentationes Mathematicae Universitatis Carolinae

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In a series of papers from the 1940’s and 1950’s, R.H. Bruck and L.J. Paige developed a provocative line of research detailing the similarities between two important classes of loops: the diassociative A-loops and the Moufang loops ([1]). Though they did not publish any classification theorems, in 1958, Bruck’s colleague, J.M. Osborn, managed to show that diassociative, commutative A-loops are Moufang ([5]). In [2] we relaunched this now over 50 year old program by examining conditions...