J. B. Nation

Publications

• Papers
• Books
• Talks and Seminar Notes
• Drafts and Work in Progress
• 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

Revised Notes on Lattice Theory - first eleven chapters

• 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

Math 618 Lattice Theory

• 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

Summer 2011

• Hilo sunrise
• Mamaroneck Burial Ground (1755)
• Backus with Bjarni, Harriet and John

Hiking with brother John and sledding with Emmy, Rye NY, Christmas 2010

• Blizzard

Ashikaga, Japan 2010

• RIMS Workshop

Sabbatical Trip Fall 2009

• New York (Michal Stronkowski's pictures)
• Kentucky (John's pictures)

Backus, MN

• Bjarni's cabin

Wild Horse Canyon, Utah

• With Emmy

Thanksgiving Trip 2006

• Redlands, CA

Kailua Jazz Hounds

• Pictures