Commutative Algebra

Noetherian and Non-Noetherian Perspectives

Editors: Fontana, M., Kabbaj, S.-E., Olberding, B., Swanson, I. (Eds.)

  • Presents a collection of invited survey articles by some of the leading experts in commutative algebra
  • Includes selected contributions based on their impact on the field
  • Discusses various significant developments in both Noetherian and non-Noetherian commutative algebra
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  • ISBN 978-1-4419-6990-3
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About this book

Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters are internationally renowned for their important contributions to various aspects of current research in commutative algebra. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying commutative algebra.

Table of contents (17 chapters)

  • Principal-like ideals and related polynomial content conditions

    Anderson, D. D.

    Pages 1-21

  • Zero-divisor graphs in commutative rings

    Anderson, David F. (et al.)

    Pages 23-45

  • Class semigroups and t-class semigroups of integral domains

    Bazzoni, Silvana (et al.)

    Pages 47-76

  • Forcing algebras, syzygy bundles, and tight closure

    Brenner, Holger

    Pages 77-99

  • Beyond totally reflexive modules and back

    Christensen, Lars Winther (et al.)

    Pages 101-143

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-1-4419-6990-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-1-4419-6989-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-1-4899-9004-4
  • 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
Commutative Algebra
Book Subtitle
Noetherian and Non-Noetherian Perspectives
Editors
  • Marco Fontana
  • Salah-Eddine Kabbaj
  • Bruce Olberding
  • Irena Swanson
Copyright
2011
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4419-6990-3
DOI
10.1007/978-1-4419-6990-3
Hardcover ISBN
978-1-4419-6989-7
Softcover ISBN
978-1-4899-9004-4
Edition Number
1
Number of Pages
VIII, 492
Topics