A course in algebra / (Record no. 702965)

MARC details
000 -LEADER
fixed length control field 04567cam a2200673 a 4500
001 - CONTROL NUMBER
control field ocn828423933
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240925133854.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu---unuuu
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 130225s2000 si a o 001 0 eng d
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
Canceled/invalid LC control number 99053874
040 ## - CATALOGING SOURCE
Original cataloging agency N$T
Language of cataloging eng
Description conventions pn
Transcribing agency N$T
Modifying agency E7B
-- I9W
-- OCLCF
-- YDXCP
-- OCLCQ
-- AGLDB
-- COO
-- OCLCQ
-- VTS
-- STF
-- M8D
-- OCLCO
-- UKAHL
-- OCLCA
-- AJS
-- OCLCO
-- OCLCQ
-- OCLCO
-- OCLCQ
-- OCLCO
-- INARC
-- OCLCL
019 ## -
-- 1086515780
-- 1413373602
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789812815095
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9812815090
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9810240619
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9789810240615
035 ## - SYSTEM CONTROL NUMBER
System control number 532645
-- (N$T)
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)828423933
Canceled/invalid control number (OCoLC)1086515780
-- (OCoLC)1413373602
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA162
Item number .F36 2000eb
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 002010
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.02
Edition number 22
084 ## - OTHER CLASSIFICATION NUMBER
Classification number 31.20
Number source bcl
084 ## - OTHER CLASSIFICATION NUMBER
Classification number SK 200
Number source rvk
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Fan, Yun.
9 (RLIN) 674604
245 12 - TITLE STATEMENT
Title A course in algebra /
Statement of responsibility, etc. Yun Fan, Q.Y. Xiong, Y.L. Zheng.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. Singapore ;
-- River Edge, N.J. :
Name of publisher, distributor, etc. World Scientific,
Date of publication, distribution, etc. ©2000.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (x, 246 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
500 ## - GENERAL NOTE
General note Includes index.
505 00 - FORMATTED CONTENTS NOTE
Miscellaneous information 1
Title Preliminaries
Miscellaneous information 1 --
-- 1.1
Title Sets
Miscellaneous information 1 --
-- 1.2
Title Logic
Miscellaneous information 4 --
-- 1.3
Title Relations
Miscellaneous information 7 --
-- 1.5
Title Zorn's Lemma
Miscellaneous information 18 --
-- 2
Title Groups
Miscellaneous information 19 --
-- 2.1
Title Transformations and Permutations
Miscellaneous information 19 --
-- 2.2
Title Groups
Miscellaneous information 27 --
-- 2.3
Title Subgroups
Miscellaneous information 35 --
-- 2.4
Title Homomorphisms, Isomorphisms
Miscellaneous information 39 --
-- 2.5
Title Cosets
Miscellaneous information 45 --
-- 2.6
Title Normal Subgroups, Quotient Groups
Miscellaneous information 49 --
-- 2.7
Title Homomorphism Theorems
Miscellaneous information 52 --
-- 2.8
Title Cyclic Groups, Orders of Elements
Miscellaneous information 56 --
-- 2.9
Title Direct Products
Miscellaneous information 62 --
-- 3
Title Rings
Miscellaneous information 71 --
-- 3.1
Title Fundamentals
Miscellaneous information 71 --
-- 3.2
Title Zero Divisors, Invertible Elements
Miscellaneous information 77 --
-- 3.3
Title Ideals, Residue Rings
Miscellaneous information 81 --
-- 3.4
Title Homomorphism Theorems
Miscellaneous information 86 --
-- 3.5
Title Prime Ideals, Maximal Ideals
Miscellaneous information 89 --
-- 3.6
Title Direct Sums
Miscellaneous information 93 --
-- 3.7
Title Fraction Fields of Integral Domains
Miscellaneous information 97 --
-- 3.8
Title Polynomial Rings
Miscellaneous information 101 --
-- 3.9
Title Factorial Domains
Miscellaneous information 110 --
-- 3.10
Title Polynomial Rings over Factorial Rings
Miscellaneous information 117 --
-- 4
Title Modules
Miscellaneous information 123 --
-- 4.1
Title Modules
Miscellaneous information 123 --
-- 4.2
Title Homomorphisms
Miscellaneous information 127 --
-- 4.3
Title Direct Products, Direct Sums
Miscellaneous information 133 --
-- 4.4
Title Exact Sequences of Homomorphisms
Miscellaneous information 137 --
-- 4.5
Title Free Modules, Matrices over Rings
Miscellaneous information 142 --
-- 4.6
Title Matrices over Division Rings
Miscellaneous information 150 --
-- 4.7
Title Matrices over Commutative Rings
Miscellaneous information 159 --
-- 4.8
Title Algebras over Commutative Rings
Miscellaneous information 164 --
-- 4.9
Title Tensor Products
Miscellaneous information 171 --
-- 4.10
Title Projective Modules, Injective Modules
Miscellaneous information 176 --
-- 5
Title Fields
Miscellaneous information 183 --
-- 5.1
Title Subfields and Extensions
Miscellaneous information 183 --
-- 5.2
Title Single Extensions
Miscellaneous information 187 --
-- 5.3
Title Algebraic Extensions
Miscellaneous information 192 --
-- 5.4
Title Splitting Fields, Normal Extensions
Miscellaneous information 196 --
-- 5.5
Title Two Applications
Miscellaneous information 202 --
-- 5.6
Title Separability, Multiple Roots
Miscellaneous information 207 --
-- 5.7
Title Finite Fields
Miscellaneous information 215 --
-- 5.8
Title Coding
Miscellaneous information 220 --
-- 5.9
Title p-adic Numbers
Miscellaneous information 229 --
-- 5.10
Title Quaternions
Miscellaneous information 238.
588 0# - SOURCE OF DESCRIPTION NOTE
Source of description note Print version record.
520 ## - SUMMARY, ETC.
Summary, etc. This volume is based on the lectures given by the authors at Wuhan University and Hubei University in courses on abstract algebra. It presents the fundamental concepts and basic properties of groups, rings, modules and fields, including the interplay between them and other mathematical branches and applied aspects.
590 ## - LOCAL NOTE (RLIN)
Local note Added to collection customer.56279.3
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebra, Abstract.
9 (RLIN) 1378
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algèbre abstraite.
9 (RLIN) 72324
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS
General subdivision Algebra
-- Abstract.
Source of heading or term bisacsh
9 (RLIN) 54107
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebra, Abstract
Source of heading or term fast
9 (RLIN) 1378
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebra
Source of heading or term gnd
9 (RLIN) 3817
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Einführung
Source of heading or term gnd
9 (RLIN) 109217
650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebra.
Source of heading or term gtt
9 (RLIN) 3817
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Álgebra.
Source of heading or term larpcal
9 (RLIN) 3817
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Álgebra abstrata.
Source of heading or term larpcal
9 (RLIN) 76256
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Xiong, Q. Y.
9 (RLIN) 674605
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Zheng, Y. L.
9 (RLIN) 674606
758 ## -
-- has work:
-- COURSE IN ALGEBRA (Text)
-- https://id.oclc.org/worldcat/entity/E39PCYW6wTc6pJbfym6PMYmq73
-- https://id.oclc.org/worldcat/ontology/hasWork
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Fan, Yun.
Title Course in algebra.
Place, publisher, and date of publication Singapore ; River Edge, N.J. : World Scientific, ©2000
International Standard Book Number 9810240619
Record control number (DLC) 99053874
-- (OCoLC)42726140
856 40 - ELECTRONIC LOCATION AND ACCESS
Materials specified EBSCOhost
Uniform Resource Identifier <a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=532645">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=532645</a>
938 ## -
-- Askews and Holts Library Services
-- ASKH
-- AH25589428
938 ## -
-- ebrary
-- EBRY
-- ebr10699183
938 ## -
-- EBSCOhost
-- EBSC
-- 532645
938 ## -
-- YBP Library Services
-- YANK
-- 10252933
938 ## -
-- Internet Archive
-- INAR
-- courseinalgebray0000fany
994 ## -
-- 92
-- N$T
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Current library Date acquired Total Checkouts Date last seen Price effective from Koha item type
  Not Lost     EBSCO Mathematics e-Library e-Library 25/09/2024   25/09/2024 25/09/2024 eBook

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