© 2019

Advances in Commutative Algebra

Dedicated to David F. Anderson

  • Ayman Badawi
  • Jim Coykendall

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-xxii
  2. D. D. Anderson
    Pages 1-6
  3. D. D. Anderson, Muhammad Zafrullah
    Pages 7-31
  4. Marco Fontana, Muhammad Zafrullah
    Pages 33-62
  5. Ahmed Ayache, David E. Dobbs
    Pages 63-92
  6. Bruce Olberding
    Pages 93-111
  7. Thomas G. Lucas
    Pages 113-134
  8. L. Klingler, W. Wm. McGovern
    Pages 159-170
  9. Scott T. Chapman, Felix Gotti, Marly Gotti
    Pages 171-195
  10. Gyu Whan Chang, Hwankoo Kim
    Pages 197-216
  11. John D. LaGrange
    Pages 217-244
  12. Jesse Gerald Smith Jr.
    Pages 245-263

About this book


This book highlights the contributions of the eminent mathematician and leading algebraist David F. Anderson in wide-ranging areas of commutative algebra. It provides a balance of topics for experts and non-experts, with a mix of survey papers to offer a synopsis of developments across a range of areas of commutative algebra and outlining Anderson’s work. The book is divided into two sections—surveys and recent research developments—with each section presenting material from all the major areas in commutative algebra. The book is of interest to graduate students and experienced researchers alike.


Commutative Ring Zero-divisor Graph Integral Domains Pseudographs Classical Rings

Editors and affiliations

  • Ayman Badawi
    • 1
  • Jim Coykendall
    • 2
  1. 1.Department of Mathematics and StatisticsAmerican University of SharjahSharjahUnited Arab Emirates
  2. 2.Department of Mathematical SciencesClemson UniversityClemsonUSA

About the editors

AYMAN BADAWI is Professor at the Department of Mathematics and Statistics, the American University of Sharjah, the United Arab Emirates. He earned his Ph.D. in Algebra from the University of North Texas, USA, in 1993. He is an active member of the American Mathematical Society and honorary member of the Middle East Center of Algebra and its Applications. His research interests include commutative algebra, pi-regular rings, and graphs associated to rings.

JIM COYKENDALL is Professor of Mathematical Sciences at Clemson University, South Carolina, USA. He earned his Ph.D. from Cornell University in 1995, and has held various academic positions at the California Institute of Technology, the University of Tennessee, Cornell University, Lehigh University, and North Dakota State University. He has successfully guided 12 Ph.D. students. His research interests include commutative algebra and number theory.

Bibliographic information

  • Book Title Advances in Commutative Algebra
  • Book Subtitle Dedicated to David F. Anderson
  • Editors Ayman Badawi
    Jim Coykendall
  • Series Title Trends in Mathematics
  • Series Abbreviated Title Trends in Math.
  • DOI
  • Copyright Information Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Birkhäuser, Singapore
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-981-13-7027-4
  • Softcover ISBN 978-981-13-7030-4
  • eBook ISBN 978-981-13-7028-1
  • Series ISSN 2297-0215
  • Series E-ISSN 2297-024X
  • Edition Number 1
  • Number of Pages XXII, 263
  • Number of Illustrations 14 b/w illustrations, 2 illustrations in colour
  • Topics Commutative Rings and Algebras
  • Buy this book on publisher's site