Notes on Lattice Theory

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Author(s): J. B. Nation
Series: Lecture notes
Edition: 2017 update
Year: 2018

Language: English
Commentary: Newer version of https://libgen.is/book/index.php?md5=2E21C2479DE8381298C640954B075F08 . Downloaded from http://www.math.hawaii.edu/~jb/ and pieced together from the chapters. (The "entire book" at http://math.hawaii.edu/~jb/math618/Nation-LatticeTheory.pdf is out of date.)

Title
Introduction
1. Ordered Sets
2. Semilattices, Lattices and Complete Lattices
3. Algebraic Lattices
4. Representation by Equivalence Relations
5. Congruence Relations
6. Free Lattices
7. Varieties of Lattices
8. Distributive Lattices
9. Modular and Semimodular Lattices
10. Finite Lattices and their Congruence Lattices
11. Geometric Lattices
Appendix 1: Cardinals, Ordinals and Universal Algebra
Appendix 2: The Axiom of Choice
Appendix 3: Formal Concept Analysis