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Simple Relation Algebras

  • Steven Givant
  • Hajnal Andréka

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Rectangular and Equivalence Semiproducts

    1. Front Matter
      Pages 1-1
    2. Steven Givant, Hajnal Andréka
      Pages 3-37
    3. Steven Givant, Hajnal Andréka
      Pages 39-63
  3. Diagonal Semiproducts, Semipowers, Simple Closures, and Quasi-bijective Relation Algebras

    1. Front Matter
      Pages 65-69
    2. Steven Givant, Hajnal Andréka
      Pages 71-101
    3. Steven Givant, Hajnal Andréka
      Pages 103-131
    4. Steven Givant, Hajnal Andréka
      Pages 133-188
    5. Steven Givant, Hajnal Andréka
      Pages 189-209
  4. Quotient Algebras and Quotient Semiproducts

    1. Front Matter
      Pages 211-216
    2. Steven Givant, Hajnal Andréka
      Pages 217-261
    3. Steven Givant, Hajnal Andréka
      Pages 263-319
    4. Steven Givant, Hajnal Andréka
      Pages 321-406
  5. Insertion Semiproducts and 2–Quasi–Bijective Relation Algebras

    1. Front Matter
      Pages 407-410
    2. Steven Givant, Hajnal Andréka
      Pages 411-481
    3. Steven Givant, Hajnal Andréka
      Pages 483-521
  6. Back Matter
    Pages 523-622

About this book

Introduction

This monograph details several different methods for constructing simple relation algebras, many of which are new with this book. By drawing these seemingly different methods together, all are shown to be aspects of one general approach, for which several applications are given. These tools for constructing and analyzing relation algebras are of particular interest to mathematicians working in logic, algebraic logic, or universal algebra, but will also appeal to philosophers and theoretical computer scientists working in fields that use mathematics.

The book is written with a broad audience in mind and features a careful, pedagogical approach; an appendix contains the requisite background material in relation algebras. Over 400 exercises provide ample opportunities to engage with the material, making this a monograph equally appropriate for use in a special topics course or for independent study. Readers interested in pursuing an extended background study of relation algebras will find a comprehensive treatment in author Steven Givant’s textbook, Introduction to Relation Algebras (Springer, 2017).

Keywords

Relation algebras Simple relation algebras Semiproducts Semipowers Simple closures Quotient algebras Quotient semiproducts Insertion semiproducts

Authors and affiliations

  • Steven Givant
    • 1
  • Hajnal Andréka
    • 2
  1. 1.Department of MathematicsMills CollegeOaklandUSA
  2. 2.Alfréd Rényi Institute of Mathematics Institute of Mathematics Hungarian Academy of SciencesBudapestHungary

Bibliographic information

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