This volume contains survey papers by the invited speakers at the Conference on Semigroup Theory and Its Applications which took place at Tulane University in April, 1994. 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. Included are papers by Gordon Preston surveying Clifford's work on Clifford semigroups and by John Rhodes tracing the influence of Clifford's work on current semigroup theory. Notable among the areas of application are the paper by Jean-Eric Pin on applications of other areas of mathematics to semigroup theory and the paper by the editors on an application of semigroup theory to theoretical computer science and mathematical logic. All workers in semigroup theory will find this volume invaluable.
- Contributors are leading authorities
- Contains only survey articles
- Articles of historical interest too
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Reviews & endorsements
'The authors of the survey papers represent the leading areas of research in semigroup theory and its applications.' L'Enseignement Mathématique
'All surveys are clearly written and the volume can well supplement an introductory text on semigroups.' European Mathematical Society Newsletter
'The contributions … point to possible new areas of research and give important applications of semigroup theory to computer science and logic.' K. Auinger, International Mathematical News
' … this wonderful volume of brilliant articles … will enrich any library'. P. A. Grillet, Tulane University
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Product details
- Date Published: May 1996
- format: Paperback
- isbn: 9780521576697
- length: 176 pages
- dimensions: 228 x 151 x 12 mm
- weight: 0.253kg
- availability: Available
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.
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Editors
Karl H. Hofmann, Technische Hochschule Darmstadt, Germany
Michael W. Mislove, Tulane University, Louisiana
Contributors
D. Miller, G. Preston, K. Hofmann, J. Rhodes, B. Schein, J. Howie, A. Gleason, J.-E. Pin, M. Mislove, W. D. Munn