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Semigroups and Their Applications

Proceedings of the International Conference “Algebraic Theory of Semigroups and Its Applications” held at the California State University, Chico, April 10–12, 1986

  • Conference proceedings
  • © 1987

Overview

Editors:
  1. Simon M. Goberstein

    1. Department of Mathematics, California State University, Chico, USA

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  2. Peter M. Higgins

    1. Department of Mathematics, California State University, Chico, USA
      Division of Computing and Mathematics, Deakin University, USA

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Table of contents (23 papers)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  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
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Keywords

About this book

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.

Editors and Affiliations

  • 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

Bibliographic Information

  • Book Title: Semigroups and Their Applications

  • Book Subtitle: Proceedings of the International Conference “Algebraic Theory of Semigroups and Its Applications” held at the California State University, Chico, April 10–12, 1986

  • Editors: Simon M. Goberstein, Peter M. Higgins

  • DOI: https://doi.org/10.1007/978-94-009-3839-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1987

  • Hardcover ISBN: 978-90-277-2463-2Published: 30 April 1987

  • Softcover ISBN: 978-94-010-8209-9Published: 26 September 2011

  • eBook ISBN: 978-94-009-3839-7Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XIV, 211

  • Topics: Category Theory, Homological Algebra, Theory of Computation, Algebra

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