Constructing identities for finite quasigroups |
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Authors: | Darryn E. Bryant Sheila Oates-Williams |
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Affiliation: | Department of Mathematics , The University of Queensland , Queensland, 4072, Australia |
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Abstract: | An algorithm for producing identities which hold in any given finite quasigroup is described. Identities produced by the algorithm are used to prove several results concerning varieties of quasigroups. In particular varieties of quasigroups associated with various combinatorial designs are examined. |
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