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Star-linear equational theories of groupoids

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Abstract.

We prove that there are precisely six equational theories E of groupoids with the property that every term is E-equivalent to a unique linear term.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Novi Sad, trg Dositeja Obradovića 3, 21000, Novi Sad, Serbia and Montenegro

    P. Ðapić & P. Marković

  2. Department of Algebra, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 18600, Praha 8, Czech Republic

    J. Ježek & D. Stanovský

  3. Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, TN, 37240, U.S.A.

    R. McKenzie

Authors
  1. P. Ðapić
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  2. J. Ježek
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  3. P. Marković
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  4. R. McKenzie
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  5. D. Stanovský
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Additional information

Received November 11, 2004; accepted in final form March 12, 2006.

The first and third authors were supported by the Ministry of Science and Environment of Serbia, grant no. 144011; the second and fifth authors were supported by MŠMT, research project MSM 0021620839, and by the Grant Agency of the Czech Republic, grant #201/02/0594; the fourth author was supported by the NSF grant #DMS-0245622.

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Ðapić, P., Ježek, J., Marković, P. et al. Star-linear equational theories of groupoids. Algebra univers. 56, 357–397 (2007). https://doi.org/10.1007/s00012-007-2007-3

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  • DOI: https://doi.org/10.1007/s00012-007-2007-3

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