Modules over Discrete Valuation Rings /

Modules over Discrete Valuation Rings / / Piotr A. Krylov, Askar A. Tuganbaev.

This book provides the first systematic treatment of modules over discrete valuation domains, which play an important role in various areas of algebra, especially in commutative algebra. Many important results representing the state of the art are presented in the text along with interesting open pr...

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Superior document:Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
VerfasserIn:
Krylov, Piotr A.,
Tuganbaev, Askar A.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2018]
©2018
Year of Publication:2018
Edition:2nd, rev. and ext.
Language:English
Series:De Gruyter Expositions in Mathematics , 43
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Physical Description:1 online resource (VI, 331 p.)
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id 9783110611144
ctrlnum (DE-B1597)497889
(OCoLC)1059279725
collection bib_alma
record_format marc
spelling Krylov, Piotr A., author. aut http://id.loc.gov/vocabulary/relators/aut
Modules over Discrete Valuation Rings / Piotr A. Krylov, Askar A. Tuganbaev.
2nd, rev. and ext.
Berlin ; Boston : De Gruyter, [2018]
©2018
1 online resource (VI, 331 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Expositions in Mathematics , 0938-6572 ; 43
Frontmatter -- Contents -- Introduction -- 1. Preliminaries -- 2. Basic facts -- 3. Endomorphism rings of divisible and complete modules -- 4. Representation of rings by endomorphism rings -- 5. Torsion-free modules -- 6. Mixed modules -- 7. Determinity of modules by their endomorphism rings -- 8. Modules with many endomorphisms or automorphisms -- 9. Appendix -- Bibliography -- Symbols -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
This book provides the first systematic treatment of modules over discrete valuation domains, which play an important role in various areas of algebra, especially in commutative algebra. Many important results representing the state of the art are presented in the text along with interesting open problems. This updated edition presents new approaches on p-adic integers and modules, and on the determinability of a module by its automorphism group. ContentsPreliminariesBasic factsEndomorphism rings of divisible and complete modulesRepresentation of rings by endomorphism ringsTorsion-free modulesMixed modulesDeterminity of modules by their endomorphism ringsModules with many endomorphisms or automorphisms
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
Commutative algebra.
Modules (Algebra).
Rings (Algebra).
Algebra.
Ideal.
Kommutativer Ring.
Modul.
Ring.
MATHEMATICS / Algebra / General. bisacsh
Tuganbaev, Askar A., author. aut http://id.loc.gov/vocabulary/relators/aut
Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package 9783110494969 ZDB-23-EXM
Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 9783110762488
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 9783110719550
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English 9783110604252
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 9783110603255 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English 9783110604191
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 9783110603194 ZDB-23-DMA
EPUB 9783110609851
print 9783110609776
https://doi.org/10.1515/9783110611144
https://www.degruyter.com/isbn/9783110611144
Cover https://www.degruyter.com/document/cover/isbn/9783110611144/original
language English
format eBook
author Krylov, Piotr A.,
Krylov, Piotr A.,
Tuganbaev, Askar A.,
spellingShingle Krylov, Piotr A.,
Krylov, Piotr A.,
Tuganbaev, Askar A.,
Modules over Discrete Valuation Rings /
De Gruyter Expositions in Mathematics ,
Frontmatter --
Contents --
Introduction --
1. Preliminaries --
2. Basic facts --
3. Endomorphism rings of divisible and complete modules --
4. Representation of rings by endomorphism rings --
5. Torsion-free modules --
6. Mixed modules --
7. Determinity of modules by their endomorphism rings --
8. Modules with many endomorphisms or automorphisms --
9. Appendix --
Bibliography --
Symbols --
Index
author_facet Krylov, Piotr A.,
Krylov, Piotr A.,
Tuganbaev, Askar A.,
Tuganbaev, Askar A.,
Tuganbaev, Askar A.,
author_variant p a k pa pak
p a k pa pak
a a t aa aat
author_role VerfasserIn
VerfasserIn
VerfasserIn
author2 Tuganbaev, Askar A.,
Tuganbaev, Askar A.,
author2_variant a a t aa aat
author2_role VerfasserIn
VerfasserIn
author_sort Krylov, Piotr A.,
title Modules over Discrete Valuation Rings /
title_full Modules over Discrete Valuation Rings / Piotr A. Krylov, Askar A. Tuganbaev.
title_fullStr Modules over Discrete Valuation Rings / Piotr A. Krylov, Askar A. Tuganbaev.
title_full_unstemmed Modules over Discrete Valuation Rings / Piotr A. Krylov, Askar A. Tuganbaev.
title_auth Modules over Discrete Valuation Rings /
title_alt Frontmatter --
Contents --
Introduction --
1. Preliminaries --
2. Basic facts --
3. Endomorphism rings of divisible and complete modules --
4. Representation of rings by endomorphism rings --
5. Torsion-free modules --
6. Mixed modules --
7. Determinity of modules by their endomorphism rings --
8. Modules with many endomorphisms or automorphisms --
9. Appendix --
Bibliography --
Symbols --
Index
title_new Modules over Discrete Valuation Rings /
title_sort modules over discrete valuation rings /
series De Gruyter Expositions in Mathematics ,
series2 De Gruyter Expositions in Mathematics ,
publisher De Gruyter,
publishDate 2018
physical 1 online resource (VI, 331 p.)
Issued also in print.
edition 2nd, rev. and ext.
contents Frontmatter --
Contents --
Introduction --
1. Preliminaries --
2. Basic facts --
3. Endomorphism rings of divisible and complete modules --
4. Representation of rings by endomorphism rings --
5. Torsion-free modules --
6. Mixed modules --
7. Determinity of modules by their endomorphism rings --
8. Modules with many endomorphisms or automorphisms --
9. Appendix --
Bibliography --
Symbols --
Index
isbn 9783110611144
9783110494969
9783110762488
9783110719550
9783110604252
9783110603255
9783110604191
9783110603194
9783110609851
9783110609776
issn 0938-6572 ;
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA251
callnumber-sort QA 3251.3
url https://doi.org/10.1515/9783110611144
https://www.degruyter.com/isbn/9783110611144
https://www.degruyter.com/document/cover/isbn/9783110611144/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 512 - Algebra
dewey-full 512.42
dewey-sort 3512.42
dewey-raw 512.42
dewey-search 512.42
doi_str_mv 10.1515/9783110611144
oclc_num 1059279725
work_keys_str_mv AT krylovpiotra modulesoverdiscretevaluationrings
AT tuganbaevaskara modulesoverdiscretevaluationrings
status_str n
ids_txt_mv (DE-B1597)497889
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carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018
is_hierarchy_title Modules over Discrete Valuation Rings /
container_title Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
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