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978-3-319-18991-8
DE-He213
20180115171634.0
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150610s2015 gw | s |||| 0|eng d
9783319189918
978-3-319-18991-8
10.1007/978-3-319-18991-8
doi
QA251.5
PBF
bicssc
MAT002010
bisacsh
512.46
23
Underwood, Robert G.
author.
Fundamentals of Hopf Algebras
[electronic resource] /
by Robert G. Underwood.
Cham :
Springer International Publishing :
Imprint: Springer,
2015.
XIV, 150 p. 21 illus.
online resource.
text
txt
rdacontent
computer
c
rdamedia
online resource
cr
rdacarrier
text file
PDF
rda
Universitext,
0172-5939
Preface -- Notation -- 1. Algebras and Coalgebras -- 2. Bialgebras -- 3. Hopf Algebras -- 4. Applications of Hopf Algebras -- Bibliography.
This text aims to provide graduate students with a self-contained introduction to topics that are at the forefront of modern algebra, namely, coalgebras, bialgebras, and Hopf algebras. The last chapter (Chapter 4) discusses several applications of Hopf algebras, some of which are further developed in the author’s 2011 publication, An Introduction to Hopf Algebras. The book may be used as the main text or as a supplementary text for a graduate algebra course. Prerequisites for this text include standard material on groups, rings, modules, algebraic extension fields, finite fields, and linearly recursive sequences. The book consists of four chapters. Chapter 1 introduces algebras and coalgebras over a field K; Chapter 2 treats bialgebras; Chapter 3 discusses Hopf algebras and Chapter 4 consists of three applications of Hopf algebras. Each chapter begins with a short overview and ends with a collection of exercises which are designed to review and reinforce the material. Exercises range from straightforward applications of the theory to problems that are devised to challenge the reader. Questions for further study are provided after selected exercises. Most proofs are given in detail, though a few proofs are omitted since they are beyond the scope of this book.
Mathematics.
Associative rings.
Rings (Algebra).
Commutative algebra.
Commutative rings.
Computer science
Mathematics.
Computer mathematics.
Number theory.
Mathematics.
Associative Rings and Algebras.
Commutative Rings and Algebras.
Number Theory.
Mathematical Applications in Computer Science.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783319189901
Universitext,
0172-5939
http://dx.doi.org/10.1007/978-3-319-18991-8
ZDB-2-SMA
371711
371711
0
0
0
0
EBook
elib
elib
2018-01-15
2018-01-15
2018-01-15
EBOOK