Semigroup Theory and its Applications Proceedings of the 1994 Conference Commemorating the Work of Alfred H. Clifford

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.

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.

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.

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.