Rings, Polynomials, and Modules

Editors: Fontana, M., Frisch, S., Glaz, S., Tartarone, F., Zanardo, P. (Eds.)

  • Contributions cover areas in commutative algebra and related non-commutative generalizations that have flourished in the last few decades and are not yet well represented in book form
  • In addition to research articles, the volume provides comprehensive survey articles on recent advances and new trends in the field
  • The volume includes open problems that point to future directions of research
see more benefits

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-319-65874-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: December 12, 2017
  • ISBN 978-3-319-65872-8
  • Free shipping for individuals worldwide
About this book

This volume presents a collection of articles highlighting recent developments in commutative algebra and related non-commutative generalizations. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non-Noetherian ring theory, module theory and integer-valued polynomials along with connections to algebraic number theory, algebraic geometry, topology and homological algebra.

Most of the eighteen contributions are authored by attendees of the two conferences in commutative algebra that were held in the summer of 2016: “Recent Advances in Commutative Ring and Module Theory,” Bressanone, Italy; “Conference on Rings and Polynomials”  Graz, Austria. There is also a small collection of invited articles authored by experts in the area who could not attend either of the conferences. Following the model of the talks given at these conferences, the volume contains a number of comprehensive survey papers along with related research articles featuring recent results that have not yet been published elsewhere.

About the authors

Marco Fontana is professor of algebra at the Università degli Studi "Roma Tre". His research interests lie in the areas of commutative ring theory and related topological aspects, with main focus on multiplicative ideal theory, Prüfer-like conditions and ideal factorizations, and Zariski-Riemann spaces of valuation domains.

Sophie Frisch is associate professor of mathematics at Technische Universität Graz, Austria. Her research interests are in commutative algebra and ring theory, including, but not limited to, polynomial mappings and integer-valued polynomials.

Sarah Glaz is professor of mathematics at the University of Connecticut. Her research interests lie in the areas of commutative ring theory and homological algebra, with main focus on non-Noetherian properties such as coherence, finite conductor, Gaussian, and Prüfer-like conditions of rings and their modules.

Francesca Tartarone is associate professor of algebra at the Università degli Studi "Roma Tre". Her research interests lie in the area of commutative ring theory with a particular focus on integer valued polynomial rings, star operations on ideals and multiplicative ideal theory properties of Prüfer-like domains. 

Paolo Zanardo is professor of algebra at the Università di Padova. His research interests lie in the area of commutative rings and their modules, with main focus on modules over valuation domains, ideal class semigroups, algebraic entropies, fully inert Abelian Groups, and factorization of matrices over integral domains.

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-319-65874-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: December 12, 2017
  • ISBN 978-3-319-65872-8
  • Free shipping for individuals worldwide
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Rings, Polynomials, and Modules
Editors
  • Marco Fontana
  • Sophie Frisch
  • Sarah Glaz
  • Francesca Tartarone
  • Paolo Zanardo
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-65874-2
DOI
10.1007/978-3-319-65874-2
Hardcover ISBN
978-3-319-65872-8
Edition Number
1
Number of Pages
VIII, 375
Number of Illustrations and Tables
32 b/w illustrations
Topics