Steps in commutative algebra / R.Y. Sharp.

Author
Edition
  • Second edition.
Published
  • Cambridge : Cambridge University Press 2000
Physical description
1 online resource (xii, 355 pages) : digital, PDF file(s).
ISBN
  • 1-316-08758-1
  • 1-107-36765-4
  • 1-107-36274-1
  • 1-107-36874-X
  • 0-511-62368-2
Notes
  • Title from publisher's bibliographic system (viewed on 05 Oct 2015).
  • Includes bibliographical references (p. 345-346) and index.
  • PDF.
  • Mode of access: World Wide Web
  • English
Contents
  • Cover; Title; Copyright; Dedication; Contents; Preface to the 1st Edition; Preface to the 2nd Edition; 1 Commutative rings and subrings; 2 Ideals; 3 Prime ideals and maximal ideals; 4 Primary decomposition; 5 Rings of fractions; 6 Modules; 7 Chain conditions on modules; 8 Commutative Noetherian rings; 9 More module theory; 10 Modules over principal ideal domains; 11 Canonical forms for square matrices; 12 Some applications to field theory; 13 Integral dependence on subrings; 14 Afflne algebras over fields; 15 Dimension theory; 16 Regular sequences and grade; 17 Cohen-Macaulay rings
  • BibliographyIndex
Related item
  • Other format: ; ISBN: 0-521-64623-5
  • http://libanswers.liverpool.ac.uk/faq/182315
  • http://www.loc.gov/catdir/description/cam022/2001266360.html
  • http://www.loc.gov/catdir/toc/cam027/2001266360.html
Genre
  • Electronic books.
  • text
Language
  • English
Related Internet Resources

Summary

  • This introductory account of commutative algebra is aimed at advanced undergraduates and first year graduate students. Assuming only basic abstract algebra, it provides a good foundation in commutative ring theory, from which the reader can proceed to more advanced works in commutative algebra and algebraic geometry. The style throughout is rigorous but concrete, with exercises and examples given within chapters, and hints provided for the more challenging problems used in the subsequent development. After reminders about basic material on commutative rings, ideals and modules are extensively discussed, with applications including to canonical forms for square matrices. The core of the book discusses the fundamental theory of commutative Noetherian rings. Affine algebras over fields, dimension theory and regular local rings are also treated, and for this second edition two further chapters, on regular sequences and Cohen-Macaulay rings, have been added. This book is ideal as a route into commutative algebra.

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University of Bath Library Online location
University of Bath Library Online location
University of Birmingham Libraries Online location Cambridge Core All Books
British Library: Lending Collection 5293.935000 51
British Library: Science, Technology and Industry, St Pancras Reading Rooms (B) PA 56
University of Cambridge Libraries Publisher description Online location
University of Cambridge Libraries Table of contents Online location
University of Cambridge Libraries: Moore Library: Main Library QA251.3 .S53 2000
University of Cambridge Libraries: Fitzwilliam College Library: Floor 0 ATA O9 Sha
Cardiff Metropolitan University Online location
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City, University of London Online location Open ebook
Coventry University Online location Cambridge eBooks and Partner Presses All Books
Durham University Library: Bill Bryson Library, Level 3 512.71 SHA
University of Edinburgh Libraries: Murray Library, King's Buildings (STANDARD LOAN) QA251.3 Sha.
University of Edinburgh Libraries Online location
University of Edinburgh Libraries Online location
University of Exeter Library: Forum Library 512.24 SHA
Imperial College London Library: Central Library: Level 2 512.9 SHA
Imperial College London Library: Central Library: Level 2 512.9 SHA
University of Leeds Library: Edward Boyle Library, level 11 Mathematics D-5 SHA
University of Leicester Library: David Wilson Library, Floor 1 Blue Zone 512.24 SHA
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University of Manchester Library: Main Library: Blue Area Floor 2 512.44
National Library of Scotland: General Reading Room, Edinburgh (stored offsite) SP2.201.0972
National Library of Wales / Llyfrgell Genedlaethol Cymru: Contact the National Library of Wales / Llyfrgell Genedlaethol Cymru PRINT 2001MB6431
University of Nottingham Libraries: George Green Library
University of Oxford Libraries: St Hugh's College Library 512.44 SHA
University of Oxford Libraries: Jesus College Library: Lower Meyricke Library Gallery A1 SHA
University of Oxford Libraries: Lady Margaret Hall Library: Lower Floor 512.4 17
University of Oxford Libraries: Radcliffe Science Library
Queen Mary University of London Library: Mile End Library QA251.3 SHA (ORDINARY) ORDINARY
University of St Andrews Library Online location Connect to e-book (CUP Collection purchased by the Library until 31st July 2022)
University of Sheffield Library Online location
University of Sheffield Library Online location Cambridge Core All Books
University of South Wales: Treforest Library: Main Shelves, Week Loan 512.24 SHA
University of Southampton Library Cambridge Online location
University of Southampton Library: Internet Internet
UCL Library Services: UCL Science Library MATHEMATICS E 20 SHA
University of Warwick Library: Main Library QA 251.3.S4
University of Warwick Library: Maths Institute QA 251.3.S4
University of Warwick Library Online location Connect to Cambridge e-book

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