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On the congruence extension property

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Abstract.

It is shown that a quasivariety has the extension property for all relative congruences if it has the extension property for principal relative congruences. This generalizes the analogous result for varieties, due to A. Day. The proof differs from Day's in that it avoids the use of Zorn's Lemma.

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Authors and Affiliations

  1. Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL 60607, USA. E-mail: wjb@uic.edu, , , , , , US

    W.J. Blok

  2. Department of Mathematics, Iowa State University, Ames, IA 50011, USA. E-mail: dpigozzi@iastate.edu, , , , , , US

    D. Pigozzi

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  1. W.J. Blok
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  2. D. Pigozzi
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Received February 13, 1997; accepted in final form January 19, 1998.

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Blok, W., Pigozzi, D. On the congruence extension property. Algebra univers. 38, 391–394 (1997). https://doi.org/10.1007/s000120050060

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  • DOI: https://doi.org/10.1007/s000120050060

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