%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).

@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://www.bibsonomy.org/bibtex/2dd7f97b10532feab21d486ebb6783939/sdo}, 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 }