Abstract algebra

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Prentice Hall, Jan 15, 1999 - Mathematics - 898 pages
2 Reviews
The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises throughout to aid the reader's understanding.

This edition includes substantial new material in areas that include: tensor products, commutative rings, algebraic number theory and introductory algebraic geometry. Also, includes rings of algebraic integers, semidirect products and splitting of extensions, criteria for the solvability. of a quintic, and Dedekind Domains.

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LibraryThing Review

User Review  - rwturner - LibraryThing

Dummit and Foote is a nice book to own as a reference and it provides a different point of view from many other books at this level. It's not the right book to start with though; it's just too dense ... Read full review

Review: Abstract Algebra

User Review  - Dan - Goodreads

This book is dense and huge. So you know it has a ton of information. I don't know if it is the best treatment of the material, but it is thorough (maybe even TOO thorough.) But all in all it was the ... Read full review

Contents

GROUP THEORY
13
Subgroups
47
Quotient Groups and Homomorphisms
74
Copyright

19 other sections not shown

Other editions - View all

Abstract Algebra
David S. Dummit,Richard M. Foote
Snippet view - 1999

Common terms and phrases

abelian group automorphism basis bijection called coefficients cohomology commutative ring completes the proof conjugacy classes conjugate contains Corollary corresponding cosets cyclic group decomposition Deduce defined definition denote determine direct product direct sum divides element of order elementary divisors elements of G equation equivalent example field F finite group follows functions functor g e G Galois extension Galois group gives group G group of order hence identity induced injective integral domain invariant factors inverse irreducible characters isomorphic kernel Lemma Let G linear transformation matrix maximal ideal minimal polynomial module homomorphism morphism multiplication n x n nilpotent Noetherian nonzero element normal subgroup Note particular permutation prime ideal Principal Ideal Proposition Prove representation ring homomorphism roots of unity Section short exact sequence Show simple group Spec splitting field subfield subgroup of G submodule subring subset Suppose surjective Sylow p-subgroup symmetric Theorem vector space Z-module Z/nZ zero

Bibliographic information

QR code for Abstract algebra
TitleAbstract algebra
AuthorsDavid Steven Dummit, Richard M. Foote
Edition2, illustrated
PublisherPrentice Hall, 1999
ISBN0135693020, 9780135693025
Length898 pages
Subjects ›  › 

Algebra, Abstract
Mathematics / Algebra / Abstract
Mathematics / Algebra / General
Mathematics / General
  
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