A textbook pair that provides a landmark unified treatment of the field
Introduces readers from mathematics, computer science, and beyond to the increasingly relevant field of relation algebras
Advances readers with foundations in relation algebras to the frontiers of active research
Engages the reader with numerous examples, exercises, and historical remarks
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
Approx. 1230 p. 2 volume-set.
Maße
Höhe: 23.5 cm
Breite: 15.5 cm
ISBN-13
978-3-319-68580-9 (9783319685809)
Schweitzer Klassifikation
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).
Introduction to Relation Algebras.- Preface.- Introduction.- 1. The calculus of relations.- 2. Relation algebras.- 3. Examples of relation algebras.- 4. Arithmetic.- 5. Special elements.- 6. Subalgebras.- 7. Homomorphisms.- 8. Ideals and quotients.- 9. Simple algebras.- 10. Relativizations.- 11. Direct products.- 12. Subdirect products.- 13. Minimal relation algebras.- References.- Index.- Advanced Topics in Relation Algebras.- Preface.- Introduction.- 14. Canonical Extensions.- 15. Completions.- 16. Representations.- 17. Representation Theorems.- 18. Varieties of Relation Algebras.- 19. Atom Structures.- Epilogue.- References.- Index.