Synopses & Reviews
In this volume the authors represent the leading areas of research in semigroup theory and its applications, both to other areas of mathematics and to areas outside mathematics. The editors include papers that survey Clifford's work on Clifford semigroups and trace the influence of Clifford's work on current semigroup theory. Also notable is a paper on applications from other areas of mathematics to semigroup theory, and a paper on an application of semigroup theory to theoretical computer science and mathematical logic. All workers in semigroup theory will find this volume invaluable.
Review
"...this wonderful volume of brilliant articles...will enrich any library." London Mathematical Society Lecture Notes
Synopsis
Survey articles in the area of semigroup theory and its applications.
Synopsis
This book contains survey articles in the area of semigroup theory and its applications. The papers are by a group of internationally recognised specialists in semigroup theory and its applications, and the volume provides historical information on how the area of semigroups evolved as well as articles showing new and important areas of applications of semigroup theory, both inside mathematics and to other areas. Researchers and graduate students in semigroup theory will find this volume a useful overview.
Table of Contents
1. Reminiscences of a friendship D. Miller; 2. Clifford's work on unions of groups G. Preston; 3. A survey on totally ordered semigroups K. Hofmann and J. Lawson; 4. The relationship of Clifford's work to the current theory of semigroups J. Rhodes; 5. Bands of semigroups B. Schein; 6. Isbell's zigzag theorem and its consequences J. Howie; 7. Maps implicit in the Jordan-Hölder theorem A. Gleason; 8. Finite semigroups as categories, ordered semigroups or compact semigroups J.-E. Pin; 9. Principles underlying the degeneracy of models, the untyped lambda calculus K. Hofmann and M. Mislove; 10. Special involutions W. D. Munn.