The Harmonious Song of a Moufang Quartet

The Harmonious Song of a Moufang Quartet

The variety of Moufang loops is axiomatized by any one of four well known (equivalent) identities. We prove that this axiomatic harmony holds in a broader setting by obtaining two alternate, generalized versions of the (traditional) definition of a Moufang loop using four “local” identities, each de...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2024-09, Vol.47 (5), Article 151
Hauptverfasser: Lee, Hanzhou, Phillips, J. D., Rajah, Andrew
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Applications of Mathematics
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Rajah, Andrew
description The variety of Moufang loops is axiomatized by any one of four well known (equivalent) identities. We prove that this axiomatic harmony holds in a broader setting by obtaining two alternate, generalized versions of the (traditional) definition of a Moufang loop using four “local” identities, each derived from one of the four “global” Moufang identities, one for loops, the other for magmas with the right or left inverse property.
doi_str_mv 10.1007/s40840-024-01727-y
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subjects Applications of Mathematics
Mathematics
Mathematics and Statistics
title The Harmonious Song of a Moufang Quartet
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