Multiplicative Ideal Theory in Commutative Algebra

A Tribute to the Work of Robert Gilmer

  • James W. Brewer
  • Sarah Glaz
  • William J. Heinzer
  • Bruce M. Olberding

Table of contents

  1. Front Matter
    Pages I-XV
  2. D. D. Anderson
    Pages 1-20
  3. David F. Anderson
    Pages 21-37
  4. Valentina Barucci
    Pages 39-53
  5. Silvana Bazzoni, Sarah Glaz
    Pages 55-72
  6. Jim Brewer, Fred Richman
    Pages 73-88
  7. Scott T. Chapman, Vadim Ponomarenko, William W. Smith
    Pages 109-122
  8. Alberto Facchini, Wolfgang Hassler, Lee Klingler, Roger Wiegand
    Pages 153-168
  9. Stefania Gabelli
    Pages 189-206
  10. Alfred Geroldinger, Franz Halter-Koch
    Pages 207-226
  11. William Heinzer, Christel Rotthaus, Sylvia Wiegand
    Pages 227-242
  12. Evan Houston
    Pages 243-261
  13. K. Allan Loper
    Pages 279-292
  14. Jack Ohm
    Pages 311-330

About these proceedings

Introduction

For over forty years, Robert Gilmer’s numerous articles and books have had a tremendous impact on research in commutative algebra. It is not an exaggeration to say that most articles published today in non-Noetherian ring theory, and some in Noetherian ring theory as well, originated in a topic that Gilmer either initiated or enriched by his work. This volume, a tribute to his work, consists of twenty-four articles authored by Robert Gilmer’s most prominent students and followers. These articles combine surveys of past work by Gilmer and others, recent results which have never before seen print, open problems, and extensive bibliographies. In a concluding article, Robert Gilmer points out directions for future research, highlighting the open problems in the areas he considers of importance. Robert Gilmer’s article is followed by the complete list of his published works, his mathematical genealogical tree, information on the writing of his four books, and reminiscences about Robert Gilmer’s contributions to the stimulating research environment in commutative algebra at Florida State in the middle 1960s. The entire collection provides an in-depth overview of the topics of research in a significant and large area of commutative algebra.

Audience

This book is intended for researchers and graduate students in the field of commutative algebra.

Keywords

Algebra Commutative rings Dimension theory Multiplicative ideal theory Polynomial and power series rings Prüfer rings ring theory

Editors and affiliations

  • James W. Brewer
    • 1
  • Sarah Glaz
    • 2
  • William J. Heinzer
    • 3
  • Bruce M. Olberding
    • 4
  1. 1.Florida Atlantic UniversityBoca Raton
  2. 2.University of CennecticutStorrs
  3. 3.Purdue UniversityWest Lafayette
  4. 4.New Mexico State UniversityLas Cruces

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-36717-0
  • Copyright Information Springer Science+Business Media, LLC 2006
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-24600-0
  • Online ISBN 978-0-387-36717-0
  • About this book