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Closedness properties of internal relations V: Linear Mal’tsev conditions

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Abstract.

As J. W. Snow showed, every linear Mal’tsev condition on a variety \({\mathcal{V}}\) of universal algebras, is equivalent to a relational condition on \({\mathcal{V}}\). Using slightly different relational reformulations of linear Mal’tsev conditions, we develop a purely categorical approach to these conditions.

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, Cape Town, South Africa

    Zurab Janelidze

  2. A. Razmadze Mathematical Institute of Georgian Academy of Sciences, 1 M. Alexidze Street, 0193, Tbilisi, Georgia

    Zurab Janelidze

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  1. Zurab Janelidze
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Correspondence to Zurab Janelidze.

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Partially supported by South African National Research Foundation and Georgian National Science Foundation (GNSF/ST06/3-004).

Received August 10, 2006; accepted in final form January 23, 2007.

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Janelidze, Z. Closedness properties of internal relations V: Linear Mal’tsev conditions. Algebra univers. 58, 105–117 (2008). https://doi.org/10.1007/s00012-008-2044-6

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  • DOI: https://doi.org/10.1007/s00012-008-2044-6

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