Abelian Groups : : Structures and Classifications /

Abelian Groups : : Structures and Classifications / / Peter Loth, Carol Jacoby.

This monograph covers in a comprehensive manner the current state of classification theory with respect to infinite abelian groups. A wide variety of ways to characterise different classes of abelian groups by invariants, isomorphisms and duality principles are discussed.

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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
VerfasserIn:
Jacoby, Carol,
Loth, Peter,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2019]
©2019
Year of Publication:2019
Language:English
Series:De Gruyter Studies in Mathematics , 73
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Physical Description:1 online resource (XIV, 328 p.)
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id 9783110427684
ctrlnum (DE-B1597)452073
(OCoLC)1114828731
collection bib_alma
record_format marc
spelling Jacoby, Carol, author. aut http://id.loc.gov/vocabulary/relators/aut
Abelian Groups : Structures and Classifications / Peter Loth, Carol Jacoby.
Berlin ; Boston : De Gruyter, [2019]
©2019
1 online resource (XIV, 328 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Studies in Mathematics , 0179-0986 ; 73
Frontmatter -- Preface -- Acknowledgments -- Contents -- 1. Basic characteristics of abelian groups -- 2. Simply presented groups -- 3. Warfield groups -- 4. Infinitary logic looks at groups -- 5. Groups with partial decomposition bases -- 6. Characters and Pontrjagin duality of locally compact abelian groups -- 7. Classifications of compact abelian groups -- Symbols -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
This monograph covers in a comprehensive manner the current state of classification theory with respect to infinite abelian groups. A wide variety of ways to characterise different classes of abelian groups by invariants, isomorphisms and duality principles are discussed.
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)
Abelian groups.
Abelsche Gruppe.
Gruppentheorie.
MATHEMATICS / Group Theory. bisacsh
Loth, Peter, author. aut http://id.loc.gov/vocabulary/relators/aut
Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 9783110762464
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 9783110719567
Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package 9783110494938 ZDB-23-GSM
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English 9783110616859
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English 9783110610406
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 9783110606362 ZDB-23-DMA
EPUB 9783110427868
print 9783110432114
https://doi.org/10.1515/9783110427684
https://www.degruyter.com/isbn/9783110427684
Cover https://www.degruyter.com/document/cover/isbn/9783110427684/original
language English
format eBook
author Jacoby, Carol,
Jacoby, Carol,
Loth, Peter,
spellingShingle Jacoby, Carol,
Jacoby, Carol,
Loth, Peter,
Abelian Groups : Structures and Classifications /
De Gruyter Studies in Mathematics ,
Frontmatter --
Preface --
Acknowledgments --
Contents --
1. Basic characteristics of abelian groups --
2. Simply presented groups --
3. Warfield groups --
4. Infinitary logic looks at groups --
5. Groups with partial decomposition bases --
6. Characters and Pontrjagin duality of locally compact abelian groups --
7. Classifications of compact abelian groups --
Symbols --
Bibliography --
Index
author_facet Jacoby, Carol,
Jacoby, Carol,
Loth, Peter,
Loth, Peter,
Loth, Peter,
author_variant c j cj
c j cj
p l pl
author_role VerfasserIn
VerfasserIn
VerfasserIn
author2 Loth, Peter,
Loth, Peter,
author2_variant p l pl
author2_role VerfasserIn
VerfasserIn
author_sort Jacoby, Carol,
title Abelian Groups : Structures and Classifications /
title_sub Structures and Classifications /
title_full Abelian Groups : Structures and Classifications / Peter Loth, Carol Jacoby.
title_fullStr Abelian Groups : Structures and Classifications / Peter Loth, Carol Jacoby.
title_full_unstemmed Abelian Groups : Structures and Classifications / Peter Loth, Carol Jacoby.
title_auth Abelian Groups : Structures and Classifications /
title_alt Frontmatter --
Preface --
Acknowledgments --
Contents --
1. Basic characteristics of abelian groups --
2. Simply presented groups --
3. Warfield groups --
4. Infinitary logic looks at groups --
5. Groups with partial decomposition bases --
6. Characters and Pontrjagin duality of locally compact abelian groups --
7. Classifications of compact abelian groups --
Symbols --
Bibliography --
Index
title_new Abelian Groups :
title_sort abelian groups : structures and classifications /
series De Gruyter Studies in Mathematics ,
series2 De Gruyter Studies in Mathematics ,
publisher De Gruyter,
publishDate 2019
physical 1 online resource (XIV, 328 p.)
Issued also in print.
contents Frontmatter --
Preface --
Acknowledgments --
Contents --
1. Basic characteristics of abelian groups --
2. Simply presented groups --
3. Warfield groups --
4. Infinitary logic looks at groups --
5. Groups with partial decomposition bases --
6. Characters and Pontrjagin duality of locally compact abelian groups --
7. Classifications of compact abelian groups --
Symbols --
Bibliography --
Index
isbn 9783110427684
9783110762464
9783110719567
9783110494938
9783110616859
9783110610765
9783110664232
9783110610406
9783110606362
9783110427868
9783110432114
issn 0179-0986 ;
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA180
callnumber-sort QA 3180 J33 42019
url https://doi.org/10.1515/9783110427684
https://www.degruyter.com/isbn/9783110427684
https://www.degruyter.com/document/cover/isbn/9783110427684/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 512 - Algebra
dewey-full 512/.25
dewey-sort 3512 225
dewey-raw 512/.25
dewey-search 512/.25
doi_str_mv 10.1515/9783110427684
oclc_num 1114828731
work_keys_str_mv AT jacobycarol abeliangroupsstructuresandclassifications
AT lothpeter abeliangroupsstructuresandclassifications
status_str n
ids_txt_mv (DE-B1597)452073
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carrierType_str_mv cr
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Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019
is_hierarchy_title Abelian Groups : Structures and Classifications /
container_title Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
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