Arithmetical Rings and Endomorphisms / / Askar Tuganbaev.

This book offers a comprehensive account of not necessarily commutative arithmetical rings, examining structural and homological properties of modules over arithmetical rings and summarising the interplay between arithmetical rings and other rings, whereas modules with extension properties of submod...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019
VerfasserIn:
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2019]
©2019
Year of Publication:2019
Language:English
Online Access:
Physical Description:1 online resource (XXII, 153 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
id 9783110659825
lccn 2019939556
ctrlnum (DE-B1597)521989
(OCoLC)1104712662
collection bib_alma
record_format marc
spelling Tuganbaev, Askar, author. aut http://id.loc.gov/vocabulary/relators/aut
Arithmetical Rings and Endomorphisms / Askar Tuganbaev.
Berlin ; Boston : De Gruyter, [2019]
©2019
1 online resource (XXII, 153 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Frontmatter -- Preface -- Introduction -- Contents -- Part I: ARITHMETICAL RINGS -- 1. Saturated ideals and localizations -- 2. Finitely generated modules and diagonalizability -- 3. Rings with flat and quasiprojective ideals -- 4. Hermite rings and Pierce stalks -- 5. Bezout rings, Krull dimension -- Part II: EXTENSION OF AUTOMORPHISMS AND ENDOMORPHISMS -- 6. Semi-Artinian and nonsingular modules -- 7. Modules over strongly prime and strongly semiprime rings -- 8. Endomorphism-extendable modules and rings -- 9. Automorphism-invariant modules and rings -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
This book offers a comprehensive account of not necessarily commutative arithmetical rings, examining structural and homological properties of modules over arithmetical rings and summarising the interplay between arithmetical rings and other rings, whereas modules with extension properties of submodule endomorphisms are also studied in detail. Graduate students and researchers in ring and module theory will find this book particularly valuable.
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 30. Aug 2021)
Commutative rings.
Endomorphism rings.
Endomorphisms (Group theory)
Modules (Algebra)
Rings (Algebra)
Algebra.
Endomorphismenring.
Ideal ‹Mathematik›.
Modul.
Ring ‹Mathematik›.
MATHEMATICS / Algebra / Abstract. bisacsh
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 9783110719567
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 9783110659153
print 9783110658897
https://doi.org/10.1515/9783110659825
https://www.degruyter.com/isbn/9783110659825
Cover https://www.degruyter.com/cover/covers/9783110659825.jpg
language English
format eBook
author Tuganbaev, Askar,
Tuganbaev, Askar,
spellingShingle Tuganbaev, Askar,
Tuganbaev, Askar,
Arithmetical Rings and Endomorphisms /
Frontmatter --
Preface --
Introduction --
Contents --
Part I: ARITHMETICAL RINGS --
1. Saturated ideals and localizations --
2. Finitely generated modules and diagonalizability --
3. Rings with flat and quasiprojective ideals --
4. Hermite rings and Pierce stalks --
5. Bezout rings, Krull dimension --
Part II: EXTENSION OF AUTOMORPHISMS AND ENDOMORPHISMS --
6. Semi-Artinian and nonsingular modules --
7. Modules over strongly prime and strongly semiprime rings --
8. Endomorphism-extendable modules and rings --
9. Automorphism-invariant modules and rings --
Bibliography --
Index
author_facet Tuganbaev, Askar,
Tuganbaev, Askar,
author_variant a t at
a t at
author_role VerfasserIn
VerfasserIn
author_sort Tuganbaev, Askar,
title Arithmetical Rings and Endomorphisms /
title_full Arithmetical Rings and Endomorphisms / Askar Tuganbaev.
title_fullStr Arithmetical Rings and Endomorphisms / Askar Tuganbaev.
title_full_unstemmed Arithmetical Rings and Endomorphisms / Askar Tuganbaev.
title_auth Arithmetical Rings and Endomorphisms /
title_alt Frontmatter --
Preface --
Introduction --
Contents --
Part I: ARITHMETICAL RINGS --
1. Saturated ideals and localizations --
2. Finitely generated modules and diagonalizability --
3. Rings with flat and quasiprojective ideals --
4. Hermite rings and Pierce stalks --
5. Bezout rings, Krull dimension --
Part II: EXTENSION OF AUTOMORPHISMS AND ENDOMORPHISMS --
6. Semi-Artinian and nonsingular modules --
7. Modules over strongly prime and strongly semiprime rings --
8. Endomorphism-extendable modules and rings --
9. Automorphism-invariant modules and rings --
Bibliography --
Index
title_new Arithmetical Rings and Endomorphisms /
title_sort arithmetical rings and endomorphisms /
publisher De Gruyter,
publishDate 2019
physical 1 online resource (XXII, 153 p.)
contents Frontmatter --
Preface --
Introduction --
Contents --
Part I: ARITHMETICAL RINGS --
1. Saturated ideals and localizations --
2. Finitely generated modules and diagonalizability --
3. Rings with flat and quasiprojective ideals --
4. Hermite rings and Pierce stalks --
5. Bezout rings, Krull dimension --
Part II: EXTENSION OF AUTOMORPHISMS AND ENDOMORPHISMS --
6. Semi-Artinian and nonsingular modules --
7. Modules over strongly prime and strongly semiprime rings --
8. Endomorphism-extendable modules and rings --
9. Automorphism-invariant modules and rings --
Bibliography --
Index
isbn 9783110659825
9783110719567
9783110616859
9783110610765
9783110664232
9783110610406
9783110606362
9783110659153
9783110658897
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA251
callnumber-sort QA 3251.3 T84 42019
url https://doi.org/10.1515/9783110659825
https://www.degruyter.com/isbn/9783110659825
https://www.degruyter.com/cover/covers/9783110659825.jpg
illustrated Not Illustrated
doi_str_mv 10.1515/9783110659825
oclc_num 1104712662
work_keys_str_mv AT tuganbaevaskar arithmeticalringsandendomorphisms
status_str n
ids_txt_mv (DE-B1597)521989
(OCoLC)1104712662
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019
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 Arithmetical Rings and Endomorphisms /
container_title Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019
_version_ 1770177745591992320
fullrecord <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04476nam a22008775i 4500</leader><controlfield tag="001">9783110659825</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20210830012106.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">210830t20192019gw fo d z eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2019939556</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110659825</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110659825</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)521989</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1104712662</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="050" ind1="0" ind2="0"><subfield code="a">QA251.3</subfield><subfield code="b">.T84 2019</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT002010</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Tuganbaev, Askar, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Arithmetical Rings and Endomorphisms /</subfield><subfield code="c">Askar Tuganbaev.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2019]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2019</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (XXII, 153 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Part I: ARITHMETICAL RINGS -- </subfield><subfield code="t">1. Saturated ideals and localizations -- </subfield><subfield code="t">2. Finitely generated modules and diagonalizability -- </subfield><subfield code="t">3. Rings with flat and quasiprojective ideals -- </subfield><subfield code="t">4. Hermite rings and Pierce stalks -- </subfield><subfield code="t">5. Bezout rings, Krull dimension -- </subfield><subfield code="t">Part II: EXTENSION OF AUTOMORPHISMS AND ENDOMORPHISMS -- </subfield><subfield code="t">6. Semi-Artinian and nonsingular modules -- </subfield><subfield code="t">7. Modules over strongly prime and strongly semiprime rings -- </subfield><subfield code="t">8. Endomorphism-extendable modules and rings -- </subfield><subfield code="t">9. Automorphism-invariant modules and rings -- </subfield><subfield code="t">Bibliography -- </subfield><subfield code="t">Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book offers a comprehensive account of not necessarily commutative arithmetical rings, examining structural and homological properties of modules over arithmetical rings and summarising the interplay between arithmetical rings and other rings, whereas modules with extension properties of submodule endomorphisms are also studied in detail. Graduate students and researchers in ring and module theory will find this book particularly valuable.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Commutative rings.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Endomorphism rings.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Endomorphisms (Group theory)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Modules (Algebra)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Rings (Algebra)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebra.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Endomorphismenring.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ideal ‹Mathematik›.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Modul.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ring ‹Mathematik›.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Algebra / Abstract.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DG Plus eBook-Package 2019</subfield><subfield code="z">9783110719567</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE COMPLETE DG 2019 English</subfield><subfield code="z">9783110616859</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE COMPLETE 2019 English</subfield><subfield code="z">9783110610765</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE COMPLETE 2019</subfield><subfield code="z">9783110664232</subfield><subfield code="o">ZDB-23-DGG</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE Mathematics 2019 English</subfield><subfield code="z">9783110610406</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE Mathematics 2019</subfield><subfield code="z">9783110606362</subfield><subfield code="o">ZDB-23-DMA</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">EPUB</subfield><subfield code="z">9783110659153</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9783110658897</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110659825</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110659825</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/cover/covers/9783110659825.jpg</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-061040-6 EBOOK PACKAGE Mathematics 2019 English</subfield><subfield code="b">2019</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-061076-5 EBOOK PACKAGE COMPLETE 2019 English</subfield><subfield code="b">2019</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-061685-9 EBOOK PACKAGE COMPLETE DG 2019 English</subfield><subfield code="b">2019</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-071956-7 DG Plus eBook-Package 2019</subfield><subfield code="b">2019</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_DGALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield><subfield code="b">2019</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DMA</subfield><subfield code="b">2019</subfield></datafield></record></collection>