The Resource Abelian Groups and Representations of Finite Partially Ordered Sets, by David M. Arnold, (electronic resource)

Abelian Groups and Representations of Finite Partially Ordered Sets, by David M. Arnold, (electronic resource)

Label
Abelian Groups and Representations of Finite Partially Ordered Sets
Title
Abelian Groups and Representations of Finite Partially Ordered Sets
Statement of responsibility
by David M. Arnold
Creator
Subject
Genre
Language
eng
Summary
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
Member of
Cataloging source
AU@
http://library.link/vocab/creatorName
Arnold, David M
Dewey number
512.2
Index
no index present
LC call number
QA174-183
Literary form
non fiction
Nature of contents
dictionaries
Series statement
CMS Books in Mathematics / Ouvrages de mathématiques de la SMC,
http://library.link/vocab/subjectName
  • Mathematics
  • Group theory
  • Group theory
  • Mathematics
Label
Abelian Groups and Representations of Finite Partially Ordered Sets, by David M. Arnold, (electronic resource)
Link
http://dx.doi.org/10.1007/978-1-4419-8750-1
Instantiates
Publication
Antecedent source
file reproduced from original
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Representations of posets over a field -- Torsion-free Abelian groups -- Butler groups -- Representations over a discrete valuation ring -- Almost completely decomposable groups -- Representations over fields and exact sequences -- Finite rank Butler groups -- Applications of representations and Butler groups
Dimensions
unknown
Extent
1 online resource (xii, 244 pages).
File format
unknown
Form of item
online
Isbn
9781441987501
Isbn Type
(electronic bk.)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4419-8750-1
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)853262637
  • (OCoLC)ocn853262637
Label
Abelian Groups and Representations of Finite Partially Ordered Sets, by David M. Arnold, (electronic resource)
Link
http://dx.doi.org/10.1007/978-1-4419-8750-1
Publication
Antecedent source
file reproduced from original
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Representations of posets over a field -- Torsion-free Abelian groups -- Butler groups -- Representations over a discrete valuation ring -- Almost completely decomposable groups -- Representations over fields and exact sequences -- Finite rank Butler groups -- Applications of representations and Butler groups
Dimensions
unknown
Extent
1 online resource (xii, 244 pages).
File format
unknown
Form of item
online
Isbn
9781441987501
Isbn Type
(electronic bk.)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4419-8750-1
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)853262637
  • (OCoLC)ocn853262637

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