TY - JOUR AU - Garcia, Octavio AU - Nelson, Evelyn T1 - On the nonexistence of free complete distributive lattices JO - Order PY - 1985/12 VL - 1 IS - 4 SP - 399 EP - 403 UR - http://dx.doi.org/10.1007/BF00582745 M3 - KW - distributive KW - fca KW - free KW - lattice KW - nonexistence KW - variety L1 - SN - N1 - SpringerLink - Abstract N1 - AB - 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. 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 -