Lecture Notes of the Unione Matematica Italiana

Factoring Ideals in Integral Domains

Authors: Fontana, Marco, Houston, Evan, Lucas, Thomas

  • Latest developments in the theory of ideal factorizations - not included in any other recent books Particularly useful to young researchers in commutative algebra Emphasizes historical development of the subject

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About this book

This volume provides a wide-ranging survey of, and many new results on, various important types of ideal factorization actively investigated by several authors in recent years. Examples of domains studied include (1) those with weak factorization, in which each nonzero, nondivisorial ideal can be factored as the product of its divisorial closure and a product of maximal ideals and (2) those with pseudo-Dedekind factorization, in which each nonzero, noninvertible ideal can be factored as the product of an invertible ideal with a product of pairwise comaximal prime ideals. Prüfer domains play a central role in our study, but many non-Prüfer examples are considered as well.

Table of contents (6 chapters)

  • Introduction

    Fontana, Marco (et al.)

    Pages 1-3

  • Sharpness and Trace Properties

    Fontana, Marco (et al.)

    Pages 5-38

  • Factoring Ideals in Almost Dedekind Domains and Generalized Dedekind Domains

    Fontana, Marco (et al.)

    Pages 39-70

  • Weak, Strong and Very Strong Factorization

    Fontana, Marco (et al.)

    Pages 71-94

  • Pseudo-Dedekind and Strong Pseudo-Dedekind Factorization

    Fontana, Marco (et al.)

    Pages 95-118

Buy this book

eBook $39.95
price for USA (gross)
  • ISBN 978-3-642-31712-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-642-31711-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Factoring Ideals in Integral Domains
Authors
Series Title
Lecture Notes of the Unione Matematica Italiana
Series Volume
14
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-31712-5
DOI
10.1007/978-3-642-31712-5
Softcover ISBN
978-3-642-31711-8
Series ISSN
1862-9113
Edition Number
1
Number of Pages
VIII, 164
Topics