Model theory and modules:
In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results. In this, the first book on the topic, the theme is the interplay between model theory and the theory of modules. The book is intended to be a self-contained introduction...
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1988
|
Schriftenreihe: | London Mathematical Society lecture note series
130 |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 Volltext |
Zusammenfassung: | In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results. In this, the first book on the topic, the theme is the interplay between model theory and the theory of modules. The book is intended to be a self-contained introduction to the subject and introduces the requisite model theory and module theory as it is needed. Dr Prest develops the basic ideas concerning what can be said about modules using the information which may be expressed in a first-order language. Later chapters discuss stability-theoretic aspects of modules, and structure and classification theorems over various types of rings and for certain classes of modules. Both algebraists and logicians will enjoy this account of an area in which algebra and model theory interact in a significant way. The book includes numerous examples and exercises and consequently will make an ideal introduction for graduate students coming to this subject for the first time |
Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
Beschreibung: | 1 online resource (xviii, 380 pages) |
ISBN: | 9780511600562 |
DOI: | 10.1017/CBO9780511600562 |
Internformat
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264 | 1 | |a Cambridge |b Cambridge University Press |c 1988 | |
300 | |a 1 online resource (xviii, 380 pages) | ||
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490 | 0 | |a London Mathematical Society lecture note series |v 130 | |
500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
520 | |a In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results. In this, the first book on the topic, the theme is the interplay between model theory and the theory of modules. The book is intended to be a self-contained introduction to the subject and introduces the requisite model theory and module theory as it is needed. Dr Prest develops the basic ideas concerning what can be said about modules using the information which may be expressed in a first-order language. Later chapters discuss stability-theoretic aspects of modules, and structure and classification theorems over various types of rings and for certain classes of modules. Both algebraists and logicians will enjoy this account of an area in which algebra and model theory interact in a significant way. The book includes numerous examples and exercises and consequently will make an ideal introduction for graduate students coming to this subject for the first time | ||
650 | 4 | |a Model theory | |
650 | 4 | |a Modules (Algebra) | |
650 | 0 | 7 | |a Modelltheorie |0 (DE-588)4114617-7 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Modul |0 (DE-588)4129770-2 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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any_adam_object | |
author | Prest, Mike |
author_facet | Prest, Mike |
author_role | aut |
author_sort | Prest, Mike |
author_variant | m p mp |
building | Verbundindex |
bvnumber | BV043941831 |
classification_rvk | SI 320 SK 130 |
collection | ZDB-20-CBO |
ctrlnum | (ZDB-20-CBO)CR9780511600562 (OCoLC)847068673 (DE-599)BVBBV043941831 |
dewey-full | 511/.8 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 511 - General principles of mathematics |
dewey-raw | 511/.8 |
dewey-search | 511/.8 |
dewey-sort | 3511 18 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511600562 |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:16Z |
institution | BVB |
isbn | 9780511600562 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350801 |
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physical | 1 online resource (xviii, 380 pages) |
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publishDate | 1988 |
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publisher | Cambridge University Press |
record_format | marc |
series2 | London Mathematical Society lecture note series |
spelling | Prest, Mike Verfasser aut Model theory and modules Mike Prest Model Theory & Modules Cambridge Cambridge University Press 1988 1 online resource (xviii, 380 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 130 Title from publisher's bibliographic system (viewed on 05 Oct 2015) In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results. In this, the first book on the topic, the theme is the interplay between model theory and the theory of modules. The book is intended to be a self-contained introduction to the subject and introduces the requisite model theory and module theory as it is needed. Dr Prest develops the basic ideas concerning what can be said about modules using the information which may be expressed in a first-order language. Later chapters discuss stability-theoretic aspects of modules, and structure and classification theorems over various types of rings and for certain classes of modules. Both algebraists and logicians will enjoy this account of an area in which algebra and model theory interact in a significant way. The book includes numerous examples and exercises and consequently will make an ideal introduction for graduate students coming to this subject for the first time Model theory Modules (Algebra) Modelltheorie (DE-588)4114617-7 gnd rswk-swf Modul (DE-588)4129770-2 gnd rswk-swf Modelltheorie (DE-588)4114617-7 s Modul (DE-588)4129770-2 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-34833-1 https://doi.org/10.1017/CBO9780511600562 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Prest, Mike Model theory and modules Model theory Modules (Algebra) Modelltheorie (DE-588)4114617-7 gnd Modul (DE-588)4129770-2 gnd |
subject_GND | (DE-588)4114617-7 (DE-588)4129770-2 |
title | Model theory and modules |
title_alt | Model Theory & Modules |
title_auth | Model theory and modules |
title_exact_search | Model theory and modules |
title_full | Model theory and modules Mike Prest |
title_fullStr | Model theory and modules Mike Prest |
title_full_unstemmed | Model theory and modules Mike Prest |
title_short | Model theory and modules |
title_sort | model theory and modules |
topic | Model theory Modules (Algebra) Modelltheorie (DE-588)4114617-7 gnd Modul (DE-588)4129770-2 gnd |
topic_facet | Model theory Modules (Algebra) Modelltheorie Modul |
url | https://doi.org/10.1017/CBO9780511600562 |
work_keys_str_mv | AT prestmike modeltheoryandmodules AT prestmike modeltheorymodules |