MARC details
000 -LEADER |
fixed length control field |
04506cam a2200421Ki 4500 |
001 - CONTROL NUMBER |
control field |
ocn847527208 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OCoLC |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240726105353.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
130610s2002 enka ob 001 0 eng d |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
NT |
Language of cataloging |
eng |
Description conventions |
pn |
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rda |
Transcribing agency |
NT |
Modifying agency |
CAMBR |
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IDEBK |
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OCLCF |
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YDXCP |
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EBLCP |
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DEBSZ |
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EUX |
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OCLCQ |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781107089525 |
Qualifying information |
|
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781107326002 |
Qualifying information |
|
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781107095830 |
050 04 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA612 |
Item number |
.A444 2002 |
049 ## - LOCAL HOLDINGS (OCLC) |
Holding library |
MAIN |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Magurn, Bruce A. |
Relator term |
Author |
245 10 - TITLE STATEMENT |
Title |
An algebraic introduction to K-theoryBruce A. Magurn. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. |
Place of publication, distribution, etc. |
Cambridge, UK ; |
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New York : |
Name of publisher, distributor, etc. |
Cambridge University Press, |
Date of publication, distribution, etc. |
(c)2002. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
1 online resource (xiv, 676 pages) : |
Other physical details |
illustrations. |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
computer |
Media type code |
c |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
online resource |
Carrier type code |
cr |
Source |
rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
data file |
Source |
rda |
490 1# - SERIES STATEMENT |
Series statement |
Encyclopedia of mathematics and its applications ; |
Volume # |
v. 87 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc. note |
Includes bibliographies and index. |
520 1# - SUMMARY, ETC. |
Summary, etc. |
"The presentation is self-contained, with all the necessary background and proofs, and is divided into short sections with exercises to reinforce the ideas and suggest further lines of inquiry. |
520 8# - SUMMARY, ETC. |
Summary, etc. |
The prerequisites are minimal: just a first semester of algebra (including Galois theory and modules over a principal ideal domain). No experience with homological algebra, analysis, geometry, number theory, or topology is assumed. The author has. |
520 8# - SUMMARY, ETC. |
Summary, etc. |
Selected topics can be used to construct a variety of one-semester courses; coverage of the entire text requires a full year."--Jacket. |
505 00 - FORMATTED CONTENTS NOTE |
Title |
Groups of Modules: K[subscript 0. -- |
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Free Modules -- |
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Bases -- |
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Matrix Representations -- |
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Absence of Dimension -- |
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Projective Modules -- |
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Direct Summands -- |
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Summands of Free Modules -- |
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Grothendieck Groups -- |
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Semigroups of Isomorphism Classes -- |
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Semigroups to Groups -- |
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Grothendieck Groups -- |
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Resolutions -- |
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Stability for Projective Modules -- |
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Adding Copies of R -- |
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Stably Free Modules -- |
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When Stably Free Modules Are Free -- |
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Stable Rank -- |
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Dimensions of a Ring -- |
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Multiplying Modules -- |
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Semirings -- |
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Burnside Rings -- |
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Tensor Products of Modules -- |
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Change of Rings -- |
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K[subscript 0. of Related Rings -- |
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G[subscript 0. of Related Rings -- |
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K[subscript 0. as a Functor -- |
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The Jacobson Radical -- |
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Localization -- |
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Sources of K[subscript 0. -- |
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Number Theory -- |
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Algebraic Integers -- |
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Dedekind Domains -- |
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Ideal Class Groups -- |
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Extensions and Norms -- |
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K[subscript 0. and G[subscript 0. of Dedekind Domains -- |
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Group Representation Theory -- |
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Linear Representations -- |
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Representing Finite Groups Over Fields -- |
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Semisimple Rings -- |
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Characters -- |
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Groups of Matrices: K[subscript 1. -- |
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Definition of K[subscript 1. -- |
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Elementary Matrices -- |
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Commutators and K[subscript 1.(R) -- |
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Determinants -- |
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The Bass K[subscript 1. of a Category -- |
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Stability for K[subscript 1.(R) -- |
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Surjective Stability -- |
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Injective Stability -- |
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Relative K[subscript 1. -- |
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Congruence Subgroups of GL[subscript n](R) -- |
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Congruence Subgroups of SL[subscript n](R) -- |
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Mennicke Symbols -- |
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Relations Among Matrices: K[subscript 2. -- |
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K[subscript 2.(R) and Steinberg Symbols -- |
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Definition and Properties of K[subscript 2.(R) -- |
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Elements of St(R) and K[subscript 2.(R) -- |
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Exact Sequences -- |
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The Relative Sequence -- |
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Excision and the Mayer-Vietoris Sequence -- |
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The Localization Sequence -- |
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Universal Algebras -- |
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Presentation of Algebras -- |
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Graded Rings -- |
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The Tensor Algebra -- |
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Symmetric and Exterior Algebras -- |
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The Milnor Ring -- |
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Tame Symbols -- |
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Norms on Milnor K-Theory -- |
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Matsumoto's Theorem -- |
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Sources of K[subscript 2. -- |
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Symbols in Arithmetic -- |
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Hilbert Symbols -- |
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Metric Completion of Fields -- |
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The p-Adic Numbers and Quadratic Reciprocity -- |
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Local Fields and Norm Residue Symbols -- |
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Brauer Groups -- |
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The Brauer Group of a Field -- |
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Splitting Fields -- |
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Twisted Group Rings -- |
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The K[subscript 2. Connection -- |
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A Sets, Classes, Functions -- |
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Chain Conditions, Composition Series |
530 ## - COPYRIGHT INFORMATION: |
COPYRIGHT INFORMATION |
COPYRIGHT NOT covered - Click this link to request copyright permission: |
Uniform Resource Identifier |
<a href="b">b</a> |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
K-theory. |
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
K-theory. |
655 #1 - INDEX TERM--GENRE/FORM |
Genre/form data or focus term |
Electronic Books. |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=569371&site=eds-live&custid=s3260518">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=569371&site=eds-live&custid=s3260518</a> |
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Click to access digital title | log in using your CIU ID number and my.ciu.edu password |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) |
DONATED BY: |
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VENDOR |
EBSCO |
Classification part |
QA. |
PUBLICATION YEAR |
2002 |
LOCATION |
ONLINE |
REQUESTED BY: |
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NFIC |
Source of classification or shelving scheme |
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994 ## - |
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92 |
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NT |
902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) |
a |
1 |
b |
Cynthia Snell |
c |
1 |
d |
Cynthia Snell |