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Research and Exposition in Mathematics -- Volume 23

   Enlarged Picture

K. A. Baker, R. Wille (eds.)

Lattice Theory and its Applications. In Celebration of Garrett Birkhoff's 80th Birthday


268 p., soft cover, ISBN 3-88538-223-7, EUR 42.00, 1995

The 15 articles in this volume are elaborations of selected lectures by leading experts held at a conference which was organized on the occasion of G. Birkhoff's 80th birthday. The contributions survey pure and applied lattice theory and contain substantial new results.


Contents

Laudation
1--6

M. K. Bennett
Lattices and Geometry
7--26

R. Freese
New Results on Free Lattices
51--62

R. Freese, K. Kearnes, J. B. Nation
Congruence Lattices of Congruence Semidistributive Algebras
63--78

B. Ganter
Lattice Theory and Formal Concept Analysis -- a Subjective Introduction
79--90

G. Graetzer, E. T. Schmidt
Algebraic Lattices as Congruence Lattices the m-Complete Case
91--102

C. B. Huijsmans, W. A. J. Luxemburg
On some Aspects of the Theory of Lattice-Ordered Algebras
103--120

B. Jonsson
The Preservation Theorem for Canonical Extensions of Boolean Algebras with Operators
121--130

K. Keimel
Some Trends in Lattice-Ordered Groups and Rings
131--162

P. P. Palfy, C. Szabo
Congruence Varieties of Groups and Abelian Groups
163--184

H. A. Priestley
Natural Dualities
185--210

I. Rival
Order, Ice and Surfaces
211--218

V. Slavik
Finiteness of Finitely Presented Lattices
219--228

J. Tuma
Partition, Congruence and Subgroup Representations of Lattices
229--240

F. Vogt
Subgroup Lattices of Finite Abelian Groups: Structure and Cardinalities
241--260