Distributive laws for concept lattices
M. Erné.
Algebra Universalis (1993)

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).

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http://dx.doi.org/10.1007/BF01195382

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@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).},
  added-at = {2010-12-19T13:14:14.000+0100},
  affiliation = {Institut für Mathematik Universität Hannover Hannover Germany},
  author = {Erné, Marcel},
  biburl = {https://puma.uni-kassel.de/bibtex/2dd7f97b10532feab21d486ebb6783939/stephandoerfel},
  description = {SpringerLink - Algebra Universalis, Volume 30, Number 4},
  doi = {10.1007/BF01195382},
  interhash = {f30c769c54f5eb98962742b324651451},
  intrahash = {dd7f97b10532feab21d486ebb6783939},
  issn = {0002-5240},
  issue = {4},
  journal = {Algebra Universalis},
  keyword = {Mathematics and Statistics},
  keywords = {complete concept distributive distributivity fba fca lattice math theory},
  pages = {538-580},
  publisher = {Birkhäuser Basel},
  timestamp = {2010-12-19T13:14:15.000+0100},
  title = {Distributive laws for concept lattices},
  url = {http://dx.doi.org/10.1007/BF01195382},
  volume = 30,
  year = 1993
}

%0 Journal Article
%1 erne1993distributive
%A Erné, Marcel
%D 1993
%I Birkhäuser Basel
%J Algebra Universalis
%K complete concept distributive distributivity fba fca lattice math theory
%P 538-580
%R 10.1007/BF01195382
%T Distributive laws for concept lattices
%U http://dx.doi.org/10.1007/BF01195382
%V 30
%X 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).

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Distributive laws for concept lattices
M. Erné.
Algebra Universalis (1993)

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Distributive laws for concept latticesM. Erné. Algebra Universalis (1993)

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Distributive laws for concept lattices
M. Erné.
Algebra Universalis (1993)