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Study of an identity

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Abstract.

We solve the word problem of the identity x(yz) = (xy)(yz) by investigating a certain group describing the geometry of that identity. We also construct a concrete realization of the one-generated free algebra relative to the above identity.

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Authors and Affiliations

  1. Laboratoire Nicolas Oresme, CNRS UMR 6139, Mathématiques BP 5186, Université de Caen, 14032 Caen, France, e-mail: dehornoy@math.unicaen.fr; URL: //www.math.unicaen.fr/~dehornoy, , , , , , DE

    Patrick Dehornoy

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  1. Patrick Dehornoy
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Received March 23, 2001; accepted in final form July 6, 2002.

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Dehornoy, P. Study of an identity. Algebra univers. 48, 223–248 (2002). https://doi.org/10.1007/PL00012451

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  • DOI: https://doi.org/10.1007/PL00012451

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