Quasigroups, right quasigroups and category coverings

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1996 English Publisher:Springer Science and Business Media LLCJournal:Algebra Universalis, volume 35, pages 233-248 (issn: 0002-5240, eissn: 1420-8911,

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Authors: Fuad, T. S. R.; Smith, J. D. H.;

doi: 10.1007/bf01195498

Quasigroups, right quasigroups and category coverings

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Abstract

An interpretation of quasigroup modules as representations of the fundamental groupoid on the Cayley diagram of a quasigroup is constructed. Generalizations to right quasigroups involve the path category of the Cayley diagram.

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Keywords

quasigroup modules, path categories, Loops, quasigroups, fundamental groupoids, representations, right quasigroups, Cayley diagrams

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