Multiplicative Ideal Theory in Commutative Algebra

A Tribute to the Work of Robert Gilmer

Editors: Brewer, J.W., Glaz, S., Heinzer, W., Olberding, B. (Eds.)

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eBook $139.00
price for USA (gross)
  • ISBN 978-0-387-36717-0
  • Digitally watermarked, DRM-free
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Hardcover $179.00
price for USA
  • ISBN 978-0-387-24600-0
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Softcover $179.00
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  • ISBN 978-1-4419-3755-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (6 chapters)

  • Commutative rngs

    D. D. Anderson

    Pages 1-20

  • Prüfer rings

    Silvana Bazzoni, Sarah Glaz

    Pages 55-72

  • Subrings of zero-dimensional rings

    Jim Brewer, Fred Richman

    Pages 73-88

  • Old problems and new questions around integer-valued polynomials and factorial sequences

    Jean-Luc Chabert, Paul-Jean Cahen

    Pages 89-108

  • Non-unique factorizations: a survey

    Alfred Geroldinger, Franz Halter-Koch

    Pages 207-226

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-0-387-36717-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-387-24600-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-1-4419-3755-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Multiplicative Ideal Theory in Commutative Algebra
Book Subtitle
A Tribute to the Work of Robert Gilmer
Editors
  • James W. Brewer
  • Sarah Glaz
  • William Heinzer
  • Bruce Olberding
Copyright
2006
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-36717-0
DOI
10.1007/978-0-387-36717-0
Hardcover ISBN
978-0-387-24600-0
Softcover ISBN
978-1-4419-3755-1
Edition Number
1
Number of Pages
XV, 435
Topics