Erné, M.: Distributive laws for concept lattices. In:
Algebra Universalis 30 (1993), S. 538-580
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We study several kinds of distributivity for concept lattices of contexts. In particular, we find necessary and sufficient conditions for a concept lattice to be(1)distributive,(2)a frame (locale, complete Heyting algebra),(3)isomorphic to a topology,(4)completely distributive,(5)superalgebraic (i.e., algebraic and completely distributive).
Grätzer, G. & Lakser, H.: On Complete Congruence Lattices of Complete Lattices. In:
Trans. Amer. Math. Soc. 327 (1991), Nr. 1, S. 385-405
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