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Mal’cev Conditions Revisited

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Abstract

We characterize cosieves in locally presentable categories which are generated by a set of objects or are even principal. We apply our results to the category of algebraic theories where they are related to Mal’cev conditions dealt with in universal algebra.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Pures et Appliquées, Université du Littoral, BP 699, 62228, Calais, France

    D. Bourn

  2. Department of Mathematics and Statistics, Faculty of Sciences, Masaryk University, Janáčkovo nám. 2a, 60200, Brno, Czech Republic

    J. Rosický

Authors
  1. D. Bourn
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  2. J. Rosický
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Corresponding author

Correspondence to J. Rosický.

Additional information

J. Rosický was supported by MSM 0021622409 and GAČR 201/06/0664. The hospitality of the Université du Littoral is gratefully acknowledged.

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Bourn, D., Rosický, J. Mal’cev Conditions Revisited. Appl Categor Struct 16, 723–733 (2008). https://doi.org/10.1007/s10485-007-9114-3

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  • DOI: https://doi.org/10.1007/s10485-007-9114-3

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