Algebras with a compatible uniformity. (Q1771894)

The author studies algebras having a compatible structure of a uniform space. The lattice \(\text{Unif}\, A\) of compatible uniformities on an algebra \(A\) is investigated and it is shown how Mal'tsev properties on a variety \(\mathcal V\) influence the structure of \(\text{Unif}\, A\) for \(A \in \mathcal V\). He defines a number of categories of uniform algebras in \(\mathcal V\) and is particularly interested in the category of complete, Hausdorff uniform algebras in \(\mathcal V\).