The Complete Regularity of some T_0 Topological Protomodular Algebras

摘要

The paper deals with the problem whether it is possible to generalize one of the classical results of topological algebra asserting that any T_0 topological group is completely regular to the case, where "group" is replaced by an algebra from a protomodular variety of universal algebras. The subvariety of such a variety is found for algebras of which the answer to this question is positive.