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Abelian Groups and Representations of Finite Partially Ordered Sets (Hardcover, 2000 ed.)
Loot Price: R3,535
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Abelian Groups and Representations of Finite Partially Ordered Sets (Hardcover, 2000 ed.)
Series: CMS Books in Mathematics
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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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