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IMI/Publicaţii/QRS/Ediţii/QRS v.15, n.2 (18), 2007/

Short identities implying a quasigroup is a loop or group

Authors: N. C. Fiala

Abstract

We find all identities in product only with at most six variable occurrences that imply that a quasigroup satisfying the identity is a not necessarily trivial loop (group). These investigations were aided by the automated theorem-prover Prover9 and the model-finder Mace4.

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