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AuthorTitleYearJournal/ProceedingsReftypeDOI/URL
Erné, M. Distributive laws for concept lattices 1993 Algebra Universalis   article DOIURL  
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).
BibTeX:
@article{erne1993distributive,
  author = {Erné, Marcel},
  title = {Distributive laws for concept lattices},
  journal = {Algebra Universalis},
  publisher = {Birkhäuser Basel},
  year = {1993},
  volume = {30},
  pages = {538-580},
  url = {http://dx.doi.org/10.1007/BF01195382},
  doi = {http://dx.doi.org/10.1007/BF01195382}
}
Grätzer, G. & Lakser, H. On Complete Congruence Lattices of Complete Lattices 1991 Trans. Amer. Math. Soc.   article  
BibTeX:
@article{GratzerLasker,
  author = {Gr\"atzer, George and Lakser, Henry},
  title = {On Complete Congruence Lattices of Complete Lattices},
  journal = {Trans. Amer. Math. Soc.},
  year = {1991},
  volume = {327},
  number = {1},
  pages = {385--405}
}
Hales, A. W. On the non-existence of free complete Boolean algebras 1964 Fundamentae Mathematica   article URL  
BibTeX:
@article{hales1964nonexistence,
  author = {Hales, A. W.},
  title = {On the non-existence of free complete Boolean algebras},
  journal = {Fundamentae Mathematica},
  year = {1964},
  volume = {54},
  pages = {45-66},
  url = {http://matwbn.icm.edu.pl/tresc.php?wyd=1&tom=54}
}

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