@article{octavio1985nonexistence, abstract = {We prove that there is no free object over a countable set in the category of complete distributive lattices with homomorphisms preserving binary meets and arbitrary joins.}, author = {Garcia, Octavio and Nelson, Evelyn}, interhash = {c4a8aeddff294dbdd727c05059ab2050}, intrahash = {d4ce23539ea3bc784068e93dc70387aa}, journal = {Order}, month = {December}, number = 4, pages = {399--403}, title = {On the nonexistence of free complete distributive lattices}, url = {http://dx.doi.org/10.1007/BF00582745}, volume = 1, year = 1985 } @article{erne1993distributive, abstract = {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).}, affiliation = {Institut für Mathematik Universität Hannover Hannover Germany}, author = {Erné, Marcel}, doi = {10.1007/BF01195382}, interhash = {f30c769c54f5eb98962742b324651451}, intrahash = {dd7f97b10532feab21d486ebb6783939}, issn = {0002-5240}, issue = {4}, journal = {Algebra Universalis}, keyword = {Mathematics and Statistics}, pages = {538-580}, publisher = {Birkhäuser Basel}, title = {Distributive laws for concept lattices}, url = {http://dx.doi.org/10.1007/BF01195382}, volume = 30, year = 1993 } @article{Jonsson, author = {J\'{o}nsson, Bjarni}, interhash = {1e86e1c71951c755a9fc63029c30633e}, intrahash = {8f84ccdc0213a1c007d63d3473007431}, journal = {Math. Scand.}, pages = {110--121}, title = {Algebras whose Congruence Lattices are Distributive}, volume = 21, year = 1967 }