On the implication T₀ Rightarrow T_{3 frac{1}{2}} for some topological protomodular algebras
classification
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math.GN
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protomodularalgebraright-cancellabletopologicalalgebrasaxiomcompletelyfrac
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The notion of a right-cancellable protomodular algebra is introduced. It is proved that a right-cancellable topological protomodular algebra that satisfies the separation axiom $T_{0}$ is completely regular.
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