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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Produktdetaljer
ISBN
9781441987501
Publisert
2020
Utgiver
Springer Nature
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter