Advanced Topics in Relation Algebras

Steven Givant is a Professor of Mathematics and Computer Science at Mills College, California. As a long-term collaborator of Alfred Tarski—one of the great logicians—Givant has been involved first-hand in the development of the field of relation algebras since the 1970s. His previous books include Duality Theories for Boolean Algebras with Operators (Springer, 2014), Introduction to Boolean Algebras, with Paul Halmos (Springer, 2009), Logic as Algebra, with Paul Halmos (MAA, 1998), and A Formalization of Set Theory without Variables, with Alfred Tarski (AMS, 1987). He was also coeditor, with Ralph McKenzie, of Alfred Tarski's Collected Papers: Vol 1-4 (Birkhäuser, 1986).

“This second volume of the book ‘is aimed at … graduate students and professionals in a variety of mathematical disciplines, especially various branches of logic, universal algebra, and theoretical computer science’ and may serve both as a textbook and a reference. Like the first volume, it is also appropriate for independent study.” (Jānis Cīrulis, zbMATH 1436.03001, 2020)

• Preface.- Introduction.- 14. Canonical Extensions.- 15. Completions.- 16. Representations.- 17. Representation Theorems.- 18. Varieties of Relation Algebras.- 19. Atom Structures.- Epilogue.- References.- Index.