Semigroups and Their Applications

1. Front Matter

   Pages i-xiv

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2. Implicit Operations on Certain Classes of Semigroups

   • Jorge Almeida, Assis Azevedo

   Pages 1-11

3. Finite Idempotent-Commuting Semigroups

   • C. J. Ash

   Pages 13-23

4. Finite Semigroups Whose Idempotents Commute or Form a Subsemigroup

   • Jean-Camille Birget, Stuart Margolis, John Rhodes

   Pages 25-35

5. Inverse Semigroups with Countable Universal Semilattices

   • Karl Byleen

   Pages 37-42

6. The Identity Element in Inverse Semigroup Algebras

   • Michael P. Drazin

   Pages 43-46

7. Free Bands and Free *-Bands

   • J. A. Gerhard

   Pages 47-50

8. Finite Inverse Semigroups and Amalgamation

   • T. E. Hall

   Pages 51-56

9. Rank Properties in Semigroups of Mappings

   • John M. Howie

   Pages 57-60

10. Inverse Semigroups whose Lattices of Full Inverse Subsemigroups are Modular

    • K. G. Johnston, P. R. Jones

    Pages 61-67

11. Basis Properties, Exchange Properties and Embeddings in Idempotent-Free Semigroups

    • Peter R. Jones

    Pages 69-82

12. Lattices of Torsion Theories for Semi-Automata

    • Wilfried Lex

    Pages 83-90

13. The Countability Indices of Certain Transformation Semigroups

    • K. D. Magill Jr.

    Pages 91-97

14. Some Decision Problems for Inverse Monoid Presentations

    • Stuart W. Margolis, John C. Meakin, Joseph B. Stephen

    Pages 99-110

15. A Class of Inverse Semigroup Algebras

    • W. D. Munn

    Pages 111-119

16. Categorical Extension Theory — Revisited

    • William R. Nico

    Pages 121-124

17. A Class of Uniform Chains

    • Francis Pastijn

    Pages 125-132

18. Cayley Theorems for Semigroups

    • Mario Petrich

    Pages 133-138

19. Power Semigroups and Related Varieties of Finite Semigroups

    • J. E. Pin

    Pages 139-152

20. On the Lattice of Varieties of Completely Regular Semigroups

    • Norman R. Reilly

    Pages 153-167

Most papers published in this volume are based on lectures presented at the Chico Conference on Semigroups held on the Chico campus of the Cal­ ifornia State University on April 10-12, 1986. The conference was spon­ sored by the California State University, Chico in cooperation with the Engineering Computer Sciences Department of the Pacific Gas and Electric Company. The program included seven 50-minute addresses and seventeen 30-minute lectures. Speakers were invited by the organizing committee consisting of S. M. Goberstein and P. M. Higgins. The purpose of the conference was to bring together some of the leading researchers in the area of semigroup theory for a discussion of major recent developments in the field. The algebraic theory of semigroups is growing so rapidly and new important results are being produced at such a rate that the need for another meeting was well­ justified. It was hoped that the conference would help to disseminate new results more rapidly among those working in semi groups and related areas and that the exchange of ideas would stimulate research in the subject even further. These hopes were realized beyond all expectations.

• Finite
• Group theory
• Identity
• Lattice
• Monoid
• algebra
• automata
• theorem

• Department of Mathematics, California State University, Chico, USA

  Simon M. Goberstein, Peter M. Higgins

• Division of Computing and Mathematics, Deakin University, USA

  Peter M. Higgins

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