@incollection{wille1982restructuring,
  abstract = {Lattice theory today reflects the general status of current mathematics: there is a rich production of theoretical concepts, results, and developments, many of which are reached by elaborate mental gymnastics; on the other hand, the connections of the theory to its surroundings are getting weaker and weaker, with the result that the theory and even many of its parts become more isolated. Restructuring lattice theory is an attempt to reinvigorate connections with our general culture by interpreting the theory as concretely as possible, and in this way to promote better communication between lattice theorists and potential users of lattice theory.},
  author = {Wille, Rudolf},
  booktitle = {Ordered Sets},
  doi = {10.1007/978-94-009-7798-3_15},
  editor = {Rival, Ivan},
  interhash = {1e021e8bace9683c92416cd882eb4c4d},
  intrahash = {9f2962c0b9b15ddd770ed8eba3935e72},
  isbn = {978-94-009-7800-3},
  language = {English},
  pages = {445-470},
  publisher = {Springer Netherlands},
  series = {NATO Advanced Study Institutes Series},
  title = {Restructuring Lattice Theory: An Approach Based on Hierarchies of Concepts},
  url = {http://dx.doi.org/10.1007/978-94-009-7798-3_15},
  volume = 83,
  year = 1982
}

@article{guigues1986familles,
  author = {Guigues, J.-L. and Duquenne, V.},
  interhash = {3671be91dd80e5c415ede85e94ada3d7},
  intrahash = {fee9525a2e89b5ebced886b3a9f0194d},
  journal = {Mathématiques et Sciences Humaines},
  pages = {5--18},
  title = {Familles minimales d'implications informatives résultant d'un tableau de données binaires},
  volume = 95,
  year = 1986
}

@incollection{wille2009restructuring,
  address = {Berlin / Heidelberg},
  affiliation = {Fachbereich Mathematik, Technische Hochschule Darmstadt, 6100 Darmstadt, Federal Republic of Germany},
  author = {Wille, Rudolf},
  booktitle = {Formal Concept Analysis},
  doi = {10.1007/978-3-642-01815-2_23},
  editor = {Ferré, Sébastien and Rudolph, Sebastian},
  interhash = {d2b646426cb8330a80978721e5047bcd},
  intrahash = {0076ddf2562946e870f89834b6d1cd25},
  isbn = {978-3-642-01814-5},
  keyword = {Computer Science},
  pages = {314-339},
  publisher = {Springer},
  series = {Lecture Notes in Computer Science},
  title = {RESTRUCTURING LATTICE THEORY: AN APPROACH BASED ON HIERARCHIES OF CONCEPTS},
  url = {http://dx.doi.org/10.1007/978-3-642-01815-2_23},
  volume = 5548,
  year = 2009
}

@book{davey1990introduction,
  address = {Cambridge},
  author = {Davey, Brian A. and Priestley, Hilary A.},
  interhash = {7255554003c02eb6ddf14a6fcb9b9f72},
  intrahash = {df19796e33c1e2c861b613e3c8a86f58},
  isbn = {0521365848 9780521365840 0521367662 9780521367660},
  publisher = {Cambridge University Press},
  refid = {471812885},
  title = {Introduction to lattices and order},
  url = {http://www.worldcat.org/search?qt=worldcat_org_all&q=0521367662},
  year = 1990
}

@incollection{ganter1998stepwise,
  abstract = {Lattices are mathematical structures which are frequently used for the representation of data. Several authors have considered the problem of incremental construction of lattices. We show that with a rather general approach, this problem becomes well-structured. We give simple algorithms with satisfactory complexity bounds.},
  address = {Berlin/Heidelberg},
  author = {Ganter, Bernhard and Kuznetsov, Sergei},
  booktitle = {Conceptual Structures: Theory, Tools and Applications},
  doi = {10.1007/BFb0054922},
  editor = {Mugnier, Marie-Laure and Chein, Michel},
  interhash = {6ab4d800575b90bf787ade575b38994b},
  intrahash = {0c986e520647b86c202633cc6945d524},
  isbn = {978-3-540-64791-1},
  pages = {295--302},
  publisher = {Springer},
  series = {Lecture Notes in Computer Science},
  title = {Stepwise construction of the Dedekind-MacNeille completion},
  url = {http://dx.doi.org/10.1007/BFb0054922},
  volume = 1453,
  year = 1998
}

@article{yong2001lattices,
  abstract = {The main purposes of this article are to uncover interesting features in real-world citationnetworks, and to highlight important substructures. In particular, it applies lattice theory tocitation analysis. On the applied side, it shows that lattice substructures exist in real-word citationnetworks. It is further shown that, through its relations with co-citations and bibliographiccoupling, the diamond (a four-element lattice) is a basic structural element in citation analysis.Finally, citation compactness is calculated for the four- and five element lattices. },
  author = {Yong, Fang and Rousseau, Ronald},
  doi = {10.1023/A:1010573723540},
  interhash = {e9391bc849fa1c37c94f123a42cce4f3},
  intrahash = {3e02f4c97f1e075cb05e13c235cfd875},
  issn = {0138-9130},
  journal = {Scientometrics},
  month = feb,
  number = 2,
  pages = {273--287},
  title = {Lattices in citation networks: An investigation into the structure of citation graphs},
  url = {http://dx.doi.org/10.1023/A:1010573723540},
  volume = 50,
  year = 2001
}

@article{octavio1985nonexistence,
  abstract = {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.},
  author = {Garcia, Octavio and Nelson, Evelyn},
  interhash = {c4a8aeddff294dbdd727c05059ab2050},
  intrahash = {d4ce23539ea3bc784068e93dc70387aa},
  journal = {Order},
  month = {December},
  number = 4,
  pages = {399--403},
  title = {On the nonexistence of free complete distributive lattices},
  url = {http://dx.doi.org/10.1007/BF00582745},
  volume = 1,
  year = 1985
}

@article{ganter1981finite,
  author = {Ganter, Bernhard and Poguntke, Werner and Wille, Rudolf},
  interhash = {0ca78ea0263b8ed16512692b01d9f48a},
  intrahash = {52fc3b6964fc9df1069a4b8e3c010ca4},
  journal = {Algebra Universalis},
  month = {December},
  number = 1,
  pages = {160--171},
  title = {Finite sublattices of four-generated modular lattices},
  url = {http://dx.doi.org/10.1007/BF02483876},
  volume = 12,
  year = 1981
}

@article{faigle1981projective,
  abstract = {A set of axioms is presented for a projective geometry as an incidence structure on partially ordered sets of "points" and "lines". The axioms reduce to the axioms of classical projective geometry in the case where the points and lines are unordered. It is shown that the lattice of linear subsets of a projective geometry is modular and that every modular lattice of finite length is isomorphic to the lattice of linear subsets of some finite-dimensional projective geometry. Primary geometries are introduced as the incidence-geometric counterpart of primary lattices. Thus the theory of finite-dimensional projective geometries includes the theory of finite- 3-dimensional projective Hjelmslev-spaces of level $n$ as a special case. Finally, projective geometries are characterized by incidence properties of points and hyperplanes.},
  author = {Faigle, Ulrich and Herrmann, Christian},
  copyright = {Copyright © 1981 American Mathematical Society},
  interhash = {c46eccd07dd31a7ca082f971f7dee7cd},
  intrahash = {86caaca1e2111b3675308a1a30498c66},
  issn = {00029947},
  journal = {Transactions of the American Mathematical Society},
  jstor_articletype = {research-article},
  jstor_formatteddate = {Jul., 1981},
  language = {English},
  number = 1,
  pages = {pp. 319-332},
  publisher = {American Mathematical Society},
  title = {Projective Geometry on Partially Ordered Sets},
  url = {http://www.jstor.org/stable/1998401},
  volume = 266,
  year = 1981
}

@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).},
  affiliation = {Institut für Mathematik Universität Hannover Hannover Germany},
  author = {Erné, Marcel},
  doi = {10.1007/BF01195382},
  interhash = {f30c769c54f5eb98962742b324651451},
  intrahash = {dd7f97b10532feab21d486ebb6783939},
  issn = {0002-5240},
  issue = {4},
  journal = {Algebra Universalis},
  keyword = {Mathematics and Statistics},
  pages = {538-580},
  publisher = {Birkhäuser Basel},
  title = {Distributive laws for concept lattices},
  url = {http://dx.doi.org/10.1007/BF01195382},
  volume = 30,
  year = 1993
}

@book{JipsenRose,
  author = {Jipsen, Peter and Rose, Henry},
  interhash = {3c059c795ea222bef82aeadbbc53f521},
  intrahash = {9cd44e2dd953968e165fae99cce3f454},
  publisher = {Springer-Verlag},
  title = {Varieties of Lattices},
  year = 1992
}

@article{WilleGer,
  author = {Wille, Rudolf},
  interhash = {46ac7de1dc6e14712068cdbd877528dc},
  intrahash = {36d1027abe1cb91e6849597624d8b3da},
  journal = {J. reine angew. Math.},
  pages = {53--70},
  title = {Subdirekte {P}rodukte voll\-st\"an\-diger {V}erb\"ande},
  volume = {283/284},
  year = 1976
}

@book{GanterWille,
  address = {Berlin/Heidelberg},
  author = {Ganter, Bernhard and Wille, Rudolf},
  interhash = {1b0bf49069eadcdfac42e52addf4eb9d},
  intrahash = {ae14b00b5489de8da6e4578ac3062bfc},
  publisher = {Springer-Verlag},
  title = {Formal Concept Analysis: Mathematical Foundations},
  year = 1999
}

@incollection{Birkhoff,
  author = {Birkhoff, Garrett},
  booktitle = {Colloquium Publications},
  edition = {3.},
  interhash = {155513001f337274bb35db352a6a3a02},
  intrahash = {fefe3c5111aaf07bd2d39c7d6b67f87a},
  publisher = {Amer. Math. Soc.},
  title = {Lattice theory},
  volume = 25,
  year = 1967
}

@article{Duq,
  address = {Amsterdam, The Netherlands, The Netherlands},
  author = {Duquenne, Vincent},
  doi = {http://dx.doi.org/10.1016/0012-365X(91)90043-2},
  interhash = {3fcc87180a838828f74fd82d7b6ac209},
  intrahash = {6c41ab93d9468e2b180b0d1a189c2cb8},
  issn = {0012-365X},
  journal = {Discrete Math.},
  number = {2-3},
  pages = {133--147},
  publisher = {Elsevier Science Publishers B. V.},
  title = {The core of finite lattices},
  volume = 87,
  year = 1991
}

@book{Gratzer,
  author = {Gr\"atzer, George},
  edition = {2.},
  interhash = {a8f3bffb2e67cba1f5e527baf3d52c5c},
  intrahash = {d83a5bf84d8f9a73cfbdf029cf77bd00},
  publisher = {Birkh\"auser Verlag},
  title = {General Lattice Theory},
  year = 1998
}

@article{Day,
  author = {Day, Alan},
  interhash = {92f86651ec58d2172bc37610df3fff80},
  intrahash = {5bb10c218a6f0b7cc434a132264d3f79},
  journal = {Algebra Univ.},
  number = 1,
  pages = {153--162},
  title = {Splitting Algebras and a Weak Notion of Projectivity},
  volume = 5,
  year = 1975
}

@article{GratzerLasker,
  author = {Gr\"atzer, George and Lakser, Henry},
  interhash = {3e9031c3452bda5025b67930098e63da},
  intrahash = {200d680360ef9ab42903d4ea7b947a4b},
  journal = {Trans. Amer. Math. Soc.},
  number = 1,
  pages = {385--405},
  title = {On Complete Congruence Lattices of Complete Lattices},
  volume = 327,
  year = 1991
}

@article{Jonsson,
  author = {J\'{o}nsson, Bjarni},
  interhash = {1e86e1c71951c755a9fc63029c30633e},
  intrahash = {8f84ccdc0213a1c007d63d3473007431},
  journal = {Math. Scand.},
  pages = {110--121},
  title = {Algebras whose Congruence Lattices are Distributive},
  volume = 21,
  year = 1967
}

@phdthesis{Geyer,
  author = {Geyer, Winfried},
  interhash = {318f8784d05f2a85352ace9a528bf766},
  intrahash = {fe7bff84152dbe12bcf502c9092a88c8},
  school = {Technische Hochschule Darmstadt, Fachbereich Mathematik},
  title = {Intervalldopplung und Verwandte Konstruktionen bei Verb\"anden},
  year = 1992
}