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Commutative Algebra

Noetherian and Non-Noetherian Perspectives

  • Marco Fontana
  • Salah-Eddine Kabbaj
  • Bruce Olberding
  • Irena Swanson

Table of contents

  1. Front Matter
    Pages i-viii
  2. David F. Anderson, Michael C. Axtell, Joe A. Stickles Jr.
    Pages 23-45
  3. Silvana Bazzoni, Salah-Eddine Kabbaj
    Pages 47-76
  4. Lars Winther Christensen, Hans-Bjørn Foxby, Henrik Holm
    Pages 101-143
  5. Marco Fontana, Muhammad Zafrullah
    Pages 145-179
  6. Hassan Haghighi, Massoud Tousi, Siamak Yassemi
    Pages 181-202
  7. Ryan Karr, Roger Wiegand
    Pages 251-275
  8. Franz-Viktor Kuhlmann
    Pages 277-318
  9. Luigi Salce
    Pages 363-386
  10. Irena Swanson
    Pages 421-440
  11. Marie A. Vitulli
    Pages 441-480
  12. Back Matter
    Pages 481-492

About this book

Introduction

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.

Keywords

Commutative Group Commutative Ring Field Extension Galois Theory Maximal Ideal

Editors and affiliations

  • Marco Fontana
    • 1
  • Salah-Eddine Kabbaj
    • 2
  • Bruce Olberding
    • 3
  • Irena Swanson
    • 4
  1. 1., Dipartimento di MatematicaUniversità degli Studi Roma TreRomaItaly
  2. 2., Department of Mathematics and StatisticsKing Fahd University of Petroleum & MineDhahranSaudi Arabia
  3. 3., Department of Mathematical SciencesNew Mexico State UniversityLas CrucesUSA
  4. 4., Department of MathematicsReed CollegePortlandUSA

Bibliographic information