TY - JOUR AU - Erné, Marcel T1 - Distributive laws for concept lattices JO - Algebra Universalis PY - 1993/ VL - 30 IS - SP - 538 EP - 580 UR - http://dx.doi.org/10.1007/BF01195382 M3 - 10.1007/BF01195382 KW - complete KW - concept KW - distributive KW - distributivity KW - fba KW - fca KW - lattice KW - math KW - theory L1 - SN - N1 - SpringerLink - Algebra Universalis, Volume 30, Number 4 N1 - AB - 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). ER - TY - JOUR AU - Grätzer, George AU - Lakser, Henry T1 - On Complete Congruence Lattices of Complete Lattices JO - Trans. Amer. Math. Soc. PY - 1991/ VL - 327 IS - 1 SP - 385 EP - 405 UR - M3 - KW - cited KW - complete KW - congruence KW - da KW - diplomarbeit KW - lattice L1 - SN - N1 - N1 - AB - ER - TY - JOUR AU - Hales, A. W. T1 - On the non-existence of free complete Boolean algebras JO - Fundamentae Mathematica PY - 1964/ VL - 54 IS - SP - 45 EP - 66 UR - http://matwbn.icm.edu.pl/tresc.php?wyd=1&tom=54 M3 - KW - algebras KW - boolean KW - complete KW - existence KW - fca KW - free KW - lattice L1 - SN - N1 - Proof, that no there are no free complete lattices N1 - AB - ER -