Prufer Domains

by Fontana, Marco; Huckaba, James A.; Papick, Ira J.

• ISBN13: 9780824798161
• ISBN10: 0824798163
• Format: Hardcover
• Copyright: 1996-09-01
• Publisher: Marcel Dekker Inc

Summary

This timely reference offers - for the first time in book form - an exhaustive examination of many important developments in the theory of Prufer domains that have occurred over the past 25 years.
Providing an integrated presentation of both research advances and analysis techniques, Prufer Domains covers the solution of the problem of finding the number of generators needed for a finitely generated ideal of a Prufer domain... concrete representations of particular overrings determined by ideals of R...various recently developed trace properties...polynomial rings over Prufer domains... extensions and generalizations of the originals theory...and more.
Written by three acknowledged experts in the field, Prufer Domains is an excellent resource for pure and applied mathematicians, particularly algebraists and number theorists, and upper-level undergraduate and graduate students in the disciplines.

Author Biography

Marco Fontana is a Professor of Algebra at the Universita degli Studi di Roma Tre, Italy.

Table of Contents

Preface
Preliminaries	p. 1
Generating Ideals in Prufer Domains	p. 13
Particular Overrings of Prufer Domains	p. 33
Applications of the Theory of Overrings	p. 61
Generalized Dedekind Domains	p. 125
Polynomial Extensions and Quasi-Prufer Domains	p. 183
Additional Topics	p. 249
Constructions and Examples	p. 275
Bibliography	p. 311
Index	p. 325
Table of Contents provided by Blackwell. All Rights Reserved.