Minimally nonassociative Moufang loops with a unique nonidentity commutator are ring alternative

Orin Chein; Edgar G. Goodaire

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On Bol loops of order $4 k$

V. S. Ramamurthi (1984)

Acta Universitatis Carolinae. Mathematica et Physica

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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...

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.

Displaying similar documents to “Minimally nonassociative Moufang loops with a unique nonidentity commutator are ring alternative”

On Bol loops of order 4 k

On Moufang A-loops

Some remarks on simple Bol loops

On Bol loops of order $4 k$