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A class $${\mathcal {K}}$$ of algebras with a distinguished constant term 0 is called Fregean if congruences of algebras in $${\mathcal {K}}$$ are uniquely determined by their 0-cosets and ΘA(0, a) = ΘA(0, b) implies a = b for all $${a, b \in {\bf A} \in \mathcal {K}}$$ . The structure of Fregean varieties was investigated in a paper by P. Idziak, K. Słomczyńska, and A. Wroński...
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