CMS Books in Mathematics

Abelian Groups and Representations of Finite Partially Ordered Sets

Authors: Arnold, David

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eBook $84.99
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  • ISBN 978-1-4419-8750-1
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Hardcover $159.00
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  • ISBN 978-0-387-98982-2
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Softcover $109.00
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  • ISBN 978-1-4612-6462-0
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About this book

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.

Reviews

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."


Table of contents (8 chapters)

  • Representations of Posets over a Field

    Arnold, David M.

    Pages 1-46

  • Torsion-Free Abelian Groups

    Arnold, David M.

    Pages 47-75

  • Butler Groups

    Arnold, David M.

    Pages 76-125

  • Representations over a Discrete Valuation Ring

    Arnold, David M.

    Pages 126-143

  • Almost Completely Decomposable Groups

    Arnold, David M.

    Pages 144-172

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-1-4419-8750-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-0-387-98982-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4612-6462-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Abelian Groups and Representations of Finite Partially Ordered Sets
Authors
Series Title
CMS Books in Mathematics
Copyright
2000
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4419-8750-1
DOI
10.1007/978-1-4419-8750-1
Hardcover ISBN
978-0-387-98982-2
Softcover ISBN
978-1-4612-6462-0
Series ISSN
1613-5237
Edition Number
1
Number of Pages
XII, 244
Topics