Titlebook: Lattice Theory: Special Topics and Applications; Volume 2 George Gr?tzer,Friedrich Wehrung Book 2016 Springer International Publishing Swit

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Varieties of Lattices,t is impossible to give a comprehensive account. Often we only cite recent or survey papers, which themselves have many more references. We would like to apologize in advance for any errors, omissions, or miscrediting of results.

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Bases of Closure Systems,nical forms of representations of a closure system by implications. Most of the results are inspired by the structure of the closure lattice and its properties. In particular, we will be concerned with effective representations of closure systems whose closure lattices are join-semidistributive, lower bounded or locally distributive.

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Generalizations of the Permutohedron,356]), multinomial lattices (also called lattices of multipermutations, see Bennett and Birkhoff [55], Flath [154], Santocanale [393]), lattices of generalized permutations (Gross [210], Krob . [288], Boulier . [82]).

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Free and Finitely Presented Lattices,Since free lattices are covered in Section 1-5 of LTF and in great detail in our book with Je?ek [170], in this chapter we present the theory of finitely presented lattices including some new results, and then specialize to the case of free lattices. The authors wish to thank Alejandro Guillen for several helpful suggestions.

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