Boolean Lifting Properties for Bounded Distributive Lattices

Daniela Cheptea, George Georgescu, Claudia Mureșan · Scientific Annals of Computer Science · 2015

In this paper, we introduce the lifting properties for the Boolean elements of bounded distributive lattices with respect to the congruences, filters and ideals, we establish how they relate to each other and to significant algebraic properties, and we determine important classes of bounded distributive lattices which satisfy these lifting properties.

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