Abstract
The class of all compact topological algebras in any variety of universal algebras is closed under the operations of taking direct products, closed sub-algebras and factor-algebras. This fact allows of a beginning to a theory of free compact algebras modelled on well-known studies of free topological groups and algebras by A. A. Markov, M. I. Graev and A. I. Mal'cev. Bibliography: 17 items.
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