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Subdirect products of certain varieties of unary algebras

Miroslav ĆirićTatjana PetkovićStojan Bogdanović — 2007

Czechoslovak Mathematical Journal

J. Płonka in [12] noted that one could expect that the regularization ( K ) of a variety K of unary algebras is a subdirect product of K and the variety D of all discrete algebras (unary semilattices), but is not the case. The purpose of this note is to show that his expectation is fulfilled for those and only those irregular varieties K which are contained in the generalized variety T D i r of the so-called trap-directable algebras.

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