Idempotent Extended Bounded Distributive Latices

Liu Sa-sa · Mohu xitong yu shuxue · 2011

We initiate an investigation into the class eD of extended bounded distributive lattices,namely bounded distributive lattices endowed with an endomorphism,and discuss the representation of idempotent extended bounded distributive lattices,congruences and the subdirectly irreducible algebras.We show that there are precisely five non-isomorphic subdirectly irreducible idempotent extended bounded distributive lattices.

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