Abelian Groups and Representations of Finite Partially Ordered Sets Softcover Repri Edition Contributor(s): Arnold, David (Author) |
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ISBN: 1461264626 ISBN-13: 9781461264620 Publisher: Springer
Binding Type: Paperback - See All Available Formats & Editions Published: October 2012 Click for more in this series: CMS Books in Mathematics |
Additional Information |
BISAC Categories: - Mathematics | Algebra - Abstract - Mathematics | Group Theory |
Dewey: 512.2 |
Series: CMS Books in Mathematics |
Physical Information: 0.55" H x 6.14" W x 9.21" L (0.81 lbs) 244 pages |
Descriptions, Reviews, Etc. |
Publisher Description: A recurring theme in a traditional introductory graduate algebra course is the existence and consequences of relationships between different algebraic structures. This is also the theme of this book, an exposition of connections between representations of finite partially ordered sets and abelian groups. Emphasis is placed throughout on classification, a description of the objects up to isomorphism, and computation of representation type, a measure of when classification is feasible. David M. Arnold is the Ralph and Jean Storm Professor of Mathematics at Baylor University. He is the author of "Finite Rank Torsion Free Abelian Groups and Rings" published in the Springer-Verlag Lecture Notes in Mathematics series, a co-editor for two volumes of conference proceedings, and the author of numerous articles in mathematical research journals. His research interests are in abelian group theory and related topics, such as representations of partially ordered sets and modules over discrete valuation rings, subrings of algebraic number fields, and pullback rings. He received his Ph. D. from the University of Illinois, Urbana and was a member of the faculty at New Mexico State University for many years. |
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