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

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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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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).

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