Almost free modules: set-theoretic models
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Amsterdam
North Holland
2002
|
Ausgabe: | Rev. ed |
Schriftenreihe: | North-Holland mathematical library
65 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | Previous ed.: 1990 This book provides a comprehensive exposition of the use of set-theoretic methods in abelian group theory, module theory, and homological algebra, including applications to Whitehead's Problem, the structure of Ext and the existence of almost-free modules over non-perfect rings. This second edition is completely revised and udated to include major developments in the decade since the first edition. Among these are applications to cotorsion theories and covers, including a proof of the Flat Cover Conjecture, as well as the use of Shelah's pcf theory to constuct almost free groups. As with the first edition, the book is largely self-contained, and designed to be accessible to both graduate students and researchers in both algebra and logic. They will find there an introduction to powerful techniques which they may find useful in their own work Includes bibliographical references and index |
Beschreibung: | 1 Online-Ressource (620 p.) |
ISBN: | 9780444504920 0444504923 |
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Datensatz im Suchindex
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any_adam_object | |
author | Eklof, Paul C. |
author_facet | Eklof, Paul C. |
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dewey-raw | 511.322 |
dewey-search | 511.322 |
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dewey-tens | 510 - Mathematics |
discipline | Mathematik |
edition | Rev. ed |
format | Electronic eBook |
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spelling | Eklof, Paul C. Verfasser aut Almost free modules set-theoretic models Paul C. Eklof, Alan H. Mekler Rev. ed Amsterdam North Holland 2002 1 Online-Ressource (620 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematical library 65 Previous ed.: 1990 This book provides a comprehensive exposition of the use of set-theoretic methods in abelian group theory, module theory, and homological algebra, including applications to Whitehead's Problem, the structure of Ext and the existence of almost-free modules over non-perfect rings. This second edition is completely revised and udated to include major developments in the decade since the first edition. Among these are applications to cotorsion theories and covers, including a proof of the Flat Cover Conjecture, as well as the use of Shelah's pcf theory to constuct almost free groups. As with the first edition, the book is largely self-contained, and designed to be accessible to both graduate students and researchers in both algebra and logic. They will find there an introduction to powerful techniques which they may find useful in their own work Includes bibliographical references and index Modules (Algebra) fast Set theory fast Set theory Modules (Algebra) Mengenlehre (DE-588)4074715-3 gnd rswk-swf Fast freier Modul (DE-588)4311199-3 gnd rswk-swf Modul (DE-588)4129770-2 gnd rswk-swf Fast freier Modul (DE-588)4311199-3 s Mengenlehre (DE-588)4074715-3 s 1\p DE-604 Modul (DE-588)4129770-2 s 2\p DE-604 Mekler, Alan H. Sonstige oth http://www.sciencedirect.com/science/book/9780444504920 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Eklof, Paul C. Almost free modules set-theoretic models Modules (Algebra) fast Set theory fast Set theory Modules (Algebra) Mengenlehre (DE-588)4074715-3 gnd Fast freier Modul (DE-588)4311199-3 gnd Modul (DE-588)4129770-2 gnd |
subject_GND | (DE-588)4074715-3 (DE-588)4311199-3 (DE-588)4129770-2 |
title | Almost free modules set-theoretic models |
title_auth | Almost free modules set-theoretic models |
title_exact_search | Almost free modules set-theoretic models |
title_full | Almost free modules set-theoretic models Paul C. Eklof, Alan H. Mekler |
title_fullStr | Almost free modules set-theoretic models Paul C. Eklof, Alan H. Mekler |
title_full_unstemmed | Almost free modules set-theoretic models Paul C. Eklof, Alan H. Mekler |
title_short | Almost free modules |
title_sort | almost free modules set theoretic models |
title_sub | set-theoretic models |
topic | Modules (Algebra) fast Set theory fast Set theory Modules (Algebra) Mengenlehre (DE-588)4074715-3 gnd Fast freier Modul (DE-588)4311199-3 gnd Modul (DE-588)4129770-2 gnd |
topic_facet | Modules (Algebra) Set theory Mengenlehre Fast freier Modul Modul |
url | http://www.sciencedirect.com/science/book/9780444504920 |
work_keys_str_mv | AT eklofpaulc almostfreemodulessettheoreticmodels AT mekleralanh almostfreemodulessettheoreticmodels |