Abstract
L. Márki and R. Pöschel have characterised the endoprimal distributive lattices as those which are not relatively complemented. The theory of natural dualities implies that any finite algebraA on which the endomorphisms of A yield a duality on the quasivariety\(\mathbb{I}\mathbb{S}\mathbb{P}(A)\) is necessarily endoprimal. This note investigates endodualisability for finite distributive lattices, and shows, in a manner which elucidates Márki and Pöschel's proof, that it is equivalent to endoprimality.
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Davey, B.A., Haviar, M. & Priestley, H.A. Endoprimal distributive lattices are endodualisable. Algebra Universalis 34, 444–453 (1995). https://doi.org/10.1007/BF01182100
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DOI: https://doi.org/10.1007/BF01182100