Pr&uuml;fer Domains (Pure and Applied Mathematics (Marcel Dekker))
Publisher: CRC; CRC Press
Published: September 4, 1996
Language: eng
Format: Hardcover
Number of pages: 344
ISBN-13: 9780824798161
Subjects: Applied mathematics; Rings; Mathematics; Science/Mathematics; Algebra - General; Applied; Mathematics / Algebra / General; Group Theory; Prufer rings
First sentence: The rings in this book are almost always integral domains.
Description: 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.