Abelian Groups and Representations of Finite Partially Ordered Sets: 2 (CMS Books in Mathematics) - Hardcover

Arnold, David

 
9780387989822: Abelian Groups and Representations of Finite Partially Ordered Sets: 2 (CMS Books in Mathematics)
Hardcover
ISBN 10: 038798982X ISBN 13: 9780387989822
Publisher: Springer, 2000

Synopsis

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.

"synopsis" may belong to another edition of this title.

Review

From the reviews:

MATHEMATICAL REVIEWS

"The book provides a rich source or a variety of readers. As noted above, it offers an excellent and much-needed introduction to the subject of representations of posets. It could readily be used for a second year graduate course in algebra, with many tools and suggestions for cutting edge research. Finally, it is a handy reference for anyone interested in the study of torsion-free abelian groups of finite rank or related questions in representations of posets. If writing this review had not put a free copy on my bookshelf, I would rush to the web to order one."

Synopsis

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2000
Language
English
ISBN 10 
038798982X
ISBN 13 
9780387989822
Binding
Hardcover
Number of pages
256

Other Popular Editions of the Same Title

9781461264620: Abelian Groups and Representations of Finite Partially Ordered Sets (CMS Books in Mathematics)

Featured Edition

ISBN 10:  1461264626 ISBN 13:  9781461264620
Publisher: Springer, 2012
Softcover