Table of contents

The qoperator and Pseudovarieties of Relational Morphisms

Part I The q operator and Pseudovarieties of Relational Morphisms

Complexity in Finite Semigroup Theory

Part II Complexity in Finite Semigroup Theory

The Algebraic Lattice of Semigroup Pseudovarieties

Part III The Algebraic Lattice of Semigroup Pseudovarieties

Quantales, Idempotent Semirings, Matrix Algebras and the Triangular Product

Part IV Quantales Idempotent Semirings Matrix Algebras and the Triangular Product
About this book
Introduction
Discoveries in finite semigroups have influenced several mathematical fields, including theoretical computer science, tropical algebra via matrix theory with coefficients in semirings, and other areas of modern algebra. This comprehensive, encyclopedic text will provide the reader – from the graduate student to the researcher/practitioner – with a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research.
Key features:
* Develops qtheory, a new theory that provides a unifying approach to finite semigroup theory via quantization;
* Contains the only contemporary exposition of the complete theory of the complexity of finite semigroups;
* Introduces spectral theory into finite semigroup theory;
* Develops the theory of profinite semigroups from first principles, making connections with spectra of Boolean algebras of regular languages;
* Presents over 70 research problems, most new, and hundreds of exercises.
Additional features:
* For newcomers, an appendix on elementary finite semigroup theory;
* Extensive bibliography and index.
The qtheory of Finite Semigroups presents important techniques and results, many for the first time in book form, and thereby updates and modernizes the literature of semigroup theory.
Keywords
Bibliographic information
 DOI https://doi.org/10.1007/b104443
 Copyright Information Springer Science+Business Media, LLC 2009
 Publisher Name Springer, Boston, MA
 eBook Packages Mathematics and Statistics
 Print ISBN 9780387097800
 Online ISBN 9780387097817
 Series Print ISSN 14397382