Overview
Advances readers with foundations in relation algebras to the frontiers of active research
Engages the reader with numerous examples, exercises, and historical remarks
The second volume of a textbook pair, which together provide a landmark unified treatment of the field
Includes supplementary material: sn.pub/extras
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Table of contents (6 chapters)
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Front Matter
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Back Matter
Keywords
About this book
The second volume of a pair that charts relation algebras from novice to expert level, this text brings the well-grounded reader to the frontiers of research. Building on the foundations established in the preceding Introduction to Relation Algebras, this volume advances the reader into the deeper mathematical results of the past few decades. Such material offers an ideal preparation for research in relation algebras and Boolean algebras with operators.
Arranged in a modular fashion, this text offers the opportunity to explore any of several areas in detail; topics include canonical extensions, completions, representations, varieties, and atom structures. Each chapter offers a complete account of one such avenue of development, including a historical section and substantial number of exercises. The clarity of exposition and comprehensive nature of each module make this an ideal text for the independent reader entering the field, while researchers will value it as a reference for years to come.
Collecting, curating, and illuminating over 75 years of progress since Tarski's seminal work in 1941, this textbook in two volumes offers a landmark, unified treatment of the increasingly relevant field of relation algebras. Clear and insightful prose guides the reader through material previously only available in scattered, highly-technical journal articles. Students and experts alike will appreciate the work as both a textbook and invaluable reference for the community. Note that this volume contains numerous, essential references to the previous volume, Introduction to Relation Algebras. The reader is strongly encouraged to secure at least electronic access to the first book in order to make use of the second.
Reviews
“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)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Advanced Topics in Relation Algebras
Book Subtitle: Relation Algebras, Volume 2
Authors: Steven Givant
DOI: https://doi.org/10.1007/978-3-319-65945-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-65944-2Published: 14 September 2017
Softcover ISBN: 978-3-319-88136-2Published: 15 August 2018
eBook ISBN: 978-3-319-65945-9Published: 29 August 2017
Edition Number: 1
Number of Pages: XIX, 605
Topics: Mathematical Logic and Foundations, General Algebraic Systems