J. B. Nation

Department of Mathematics

University of Hawaii

Honolulu, HI 96822

E-mail:

- Papers
- Books
- Talks and Seminar Notes
- Drafts and Work in Progress
- New York Combinatorics Seminar, May 2020 and Latrobe General Algebra Seminar, June 2020
- Latrobe General Algebra Seminar, July 2020
- Latrobe General Algebra Seminar, September 2020
- Lectures from Fall 2017
- Group Codes
- Lectures on Group Codes
- Lectures on lattices from AAB Workshop
- A PDF file with pictures of the minimal big lattices
- Andy Conner's Thesis
- Translations of a couple of early lattice theory papers
- Poster on stage 1 liver cancer

**PDF file**.

- Entire book (thanks to Larry Eisenberg and William DeMeo)
- Title page
- Introduction
- Chapter 1: Ordered Sets
- Chapter 2: Semilattices, Lattices and Complete Lattices
- Chapter 3: Algebraic Lattices
- Chapter 4: Representation by Equivalence Relations
- Chapter 5: Congruence Relations
- Chapter 6: Free Lattices
- Chapter 7: Varieties of Lattices
- Chapter 8: Distributive Lattices
- Chapter 9: Modular and Semimodular Lattices
- Chapter 10: Finite Lattices and their Congruence Lattices
- Chapter 11: Geometric Lattices
- Appendix 1: Cardinals, Ordinals and Universal Algebra
- Appendix 2: The Axiom of Choice
- Appendix 3: Formal Concept Analysis

- Chapter 1 homework: problems #1, 5, 6, 9, 10
- Chapter 2 homework: problems #1, 4, 7 (2.1 only), 13
- Akihiko's comment on closure rules
- Sperner's Lemma Summary (Ralph Freese)
- Outline of closure operators
- Homework 3
- Homework #4: Chapter 8, problems #2, 4, Chapter 9, problems #1, 2.
- Three easy exercises