000 -LEADER |
fixed length control field |
02937nam a22004695i 4500 |
001 - CONTROL NUMBER |
control field |
978-3-7643-7573-7 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20161121231035.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
fixed length control field |
cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
100301s2006 sz | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783764375737 |
-- |
978-3-7643-7573-7 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/3-7643-7573-6 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA150-272 |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBF |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT002000 |
Source |
bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Clark, John. |
Relator term |
author. |
245 10 - TITLE STATEMENT |
Title |
Lifting Modules |
Medium |
[electronic resource] : |
Remainder of title |
Supplements and Projectivity in Module Theory / |
Statement of responsibility, etc. |
by John Clark, Christian Lomp, Narayanaswami Vanaja, Robert Wisbauer. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Basel : |
Name of producer, publisher, distributor, manufacturer |
Birkh�user Basel, |
Date of production, publication, distribution, manufacture, or copyright notice |
2006. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XIII, 394 p. |
Other physical details |
online resource. |
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 |
text file |
Encoding format |
PDF |
Source |
rda1 |
490 ## - SERIES STATEMENT |
Series statement |
Frontiers in Mathematics, |
International Standard Serial Number |
1660-80460 |
505 ## - FORMATTED CONTENTS NOTE |
Formatted contents note |
Basic notions -- Preradicals and torsion theories -- Decompositions of modules -- Supplements in modules -- From lifting to perfect modules. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
Extending modules are generalizations of injective modules and, dually, lifting modules generalize projective supplemented modules. There is a certain asymmetry in this duality. While the theory of extending modules is well documented in monographs and text books, the purpose of our monograph is to provide a thorough study of supplements and projectivity conditions needed to investigate classes of modules related to lifting modules. The text begins with an introduction to small submodules, the radical, variations on projectivity, and hollow dimension. The subsequent chapters consider preradicals and torsion theories (in particular related to small modules), decompositions of modules (including the exchange property and local semi-T-nilpotency), supplements in modules (with specific emphasis on semilocal endomorphism rings), finishing with a long chapter on lifting modules, leading up their use in the theory of perfect rings, Harada rings, and quasi-Frobenius rings. Most of the material in the monograph appears in book form for the first time. The main text is augmented by a plentiful supply of exercises together with comments on further related material and on how the theory has evolved. |
650 0# - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics. |
650 0# - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Algebra.1 |
650 4# - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics.2 |
650 4# - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Algebra.1 |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Lomp, Christian. |
Relator term |
author.1 |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Vanaja, Narayanaswami. |
Relator term |
author.1 |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Wisbauer, Robert. |
Relator term |
author.2 |
710 ## - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service)0 |
773 ## - HOST ITEM ENTRY |
Title |
Springer eBooks0 |
776 8# - ADDITIONAL PHYSICAL FORM ENTRY |
Relationship information |
Printed edition: |
International Standard Book Number |
9783764375720 |
830 0# - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Frontiers in Mathematics, |
International Standard Serial Number |
1660-80464 |
856 0# - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/3-7643-7573-6 |
912 ## - |
-- |
ZDB-2-SMA |