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Semigroup Theory and its Applications Karl H. Hofmann (Technische Hochschule Darmstadt, Germany)

Semigroup Theory and its Applications By Karl H. Hofmann (Technische Hochschule Darmstadt, Germany)

Semigroup Theory and its Applications by Karl H. Hofmann (Technische Hochschule Darmstadt, Germany)


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Summary

These survey articles are by a group of internationally recognised specialists in semigroup theory and its applications. 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.

Semigroup Theory and its Applications Summary

Semigroup Theory and its Applications: Proceedings of the 1994 Conference Commemorating the Work of Alfred H. Clifford by Karl H. Hofmann (Technische Hochschule Darmstadt, Germany)

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.

Semigroup Theory and its Applications Reviews

'The authors of the survey papers represent the leading areas of research in semigroup theory and its applications.' L'Enseignement Mathematique
'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

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-Hoelder 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.

Additional information

NLS9780521576697
9780521576697
0521576695
Semigroup Theory and its Applications: Proceedings of the 1994 Conference Commemorating the Work of Alfred H. Clifford by Karl H. Hofmann (Technische Hochschule Darmstadt, Germany)
New
Paperback
Cambridge University Press
1996-05-16
176
N/A
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