Modules over Discrete Valuation Domains / / Piotr A. Krylov, Askar A. Tuganbaev.
This book provides the first systematic treatment of modules over discrete valuation domains which plays 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 which is supplemented by exerc...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package |
---|---|
VerfasserIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2008] ©2008 |
Year of Publication: | 2008 |
Language: | English |
Series: | De Gruyter Expositions in Mathematics ,
43 |
Online Access: | |
Physical Description: | 1 online resource (357 p.) |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
9783110205787 |
---|---|
ctrlnum |
(DE-B1597)34145 (OCoLC)471132559 |
collection |
bib_alma |
record_format |
marc |
spelling |
Krylov, Piotr A., author. aut http://id.loc.gov/vocabulary/relators/aut Modules over Discrete Valuation Domains / Piotr A. Krylov, Askar A. Tuganbaev. Berlin ; Boston : De Gruyter, [2008] ©2008 1 online resource (357 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 -- Chapter 1 Preliminaries -- Chapter 2 Basic facts -- Chapter 3 Endomorphism rings of divisible and -- complete modules -- Chapter 4 Representation of rings by endomorphism -- rings -- Chapter 5 Torsion-free modules -- Chapter 6 Mixed modules -- Chapter 7 Determinity of modules by their -- endomorphism rings -- Chapter 8 Modules with many endomorphisms or -- automorphisms -- Backmatter 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 plays 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 which is supplemented by exercises and interesting open problems. An important contribution to commutative algebra. 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). Algebra. Ideal. Modul. Ring. kommutativer Ring. MATHEMATICS / Group Theory. bisacsh Algebra: Ring. Discrete Valuation Domain. Module Theory. 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 DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008 9783110212129 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008 9783110212136 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008 9783110209082 ZDB-23-DMN print 9783110200539 https://doi.org/10.1515/9783110205787 https://www.degruyter.com/isbn/9783110205787 Cover https://www.degruyter.com/document/cover/isbn/9783110205787/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 Domains / De Gruyter Expositions in Mathematics , Frontmatter -- Contents -- Chapter 1 Preliminaries -- Chapter 2 Basic facts -- Chapter 3 Endomorphism rings of divisible and -- complete modules -- Chapter 4 Representation of rings by endomorphism -- rings -- Chapter 5 Torsion-free modules -- Chapter 6 Mixed modules -- Chapter 7 Determinity of modules by their -- endomorphism rings -- Chapter 8 Modules with many endomorphisms or -- automorphisms -- Backmatter |
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 Domains / |
title_full |
Modules over Discrete Valuation Domains / Piotr A. Krylov, Askar A. Tuganbaev. |
title_fullStr |
Modules over Discrete Valuation Domains / Piotr A. Krylov, Askar A. Tuganbaev. |
title_full_unstemmed |
Modules over Discrete Valuation Domains / Piotr A. Krylov, Askar A. Tuganbaev. |
title_auth |
Modules over Discrete Valuation Domains / |
title_alt |
Frontmatter -- Contents -- Chapter 1 Preliminaries -- Chapter 2 Basic facts -- Chapter 3 Endomorphism rings of divisible and -- complete modules -- Chapter 4 Representation of rings by endomorphism -- rings -- Chapter 5 Torsion-free modules -- Chapter 6 Mixed modules -- Chapter 7 Determinity of modules by their -- endomorphism rings -- Chapter 8 Modules with many endomorphisms or -- automorphisms -- Backmatter |
title_new |
Modules over Discrete Valuation Domains / |
title_sort |
modules over discrete valuation domains / |
series |
De Gruyter Expositions in Mathematics , |
series2 |
De Gruyter Expositions in Mathematics , |
publisher |
De Gruyter, |
publishDate |
2008 |
physical |
1 online resource (357 p.) Issued also in print. |
contents |
Frontmatter -- Contents -- Chapter 1 Preliminaries -- Chapter 2 Basic facts -- Chapter 3 Endomorphism rings of divisible and -- complete modules -- Chapter 4 Representation of rings by endomorphism -- rings -- Chapter 5 Torsion-free modules -- Chapter 6 Mixed modules -- Chapter 7 Determinity of modules by their -- endomorphism rings -- Chapter 8 Modules with many endomorphisms or -- automorphisms -- Backmatter |
isbn |
9783110205787 9783110494969 9783110238570 9783110238471 9783110637205 9783110212129 9783110212136 9783110209082 9783110200539 |
issn |
0938-6572 ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA247 |
callnumber-sort |
QA 3247.3 K79 42008 |
url |
https://doi.org/10.1515/9783110205787 https://www.degruyter.com/isbn/9783110205787 https://www.degruyter.com/document/cover/isbn/9783110205787/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512/.42 |
dewey-sort |
3512 242 |
dewey-raw |
512/.42 |
dewey-search |
512/.42 |
doi_str_mv |
10.1515/9783110205787 |
oclc_num |
471132559 |
work_keys_str_mv |
AT krylovpiotra modulesoverdiscretevaluationdomains AT tuganbaevaskara modulesoverdiscretevaluationdomains |
status_str |
n |
ids_txt_mv |
(DE-B1597)34145 (OCoLC)471132559 |
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 DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008 Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008 |
is_hierarchy_title |
Modules over Discrete Valuation Domains / |
container_title |
Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package |
author2_original_writing_str_mv |
noLinkedField noLinkedField |
_version_ |
1770177437151264768 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04736nam a22009615i 4500</leader><controlfield tag="001">9783110205787</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20230228123812.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230228t20082008gw fo d z eng d</controlfield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">(OCoLC)979582012</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110205787</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110205787</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)34145</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)471132559</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=" " ind2="4"><subfield code="a">QA247.3</subfield><subfield code="b">.K79 2008</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT014000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">512/.42</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Krylov, Piotr A., </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">Modules over Discrete Valuation Domains /</subfield><subfield code="c">Piotr A. Krylov, Askar A. 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">[2008]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (357 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="490" ind1="0" ind2=" "><subfield code="a">De Gruyter Expositions in Mathematics ,</subfield><subfield code="x">0938-6572 ;</subfield><subfield code="v">43</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Chapter 1 Preliminaries -- </subfield><subfield code="t">Chapter 2 Basic facts -- </subfield><subfield code="t">Chapter 3 Endomorphism rings of divisible and -- </subfield><subfield code="t">complete modules -- </subfield><subfield code="t">Chapter 4 Representation of rings by endomorphism -- </subfield><subfield code="t">rings -- </subfield><subfield code="t">Chapter 5 Torsion-free modules -- </subfield><subfield code="t">Chapter 6 Mixed modules -- </subfield><subfield code="t">Chapter 7 Determinity of modules by their -- </subfield><subfield code="t">endomorphism rings -- </subfield><subfield code="t">Chapter 8 Modules with many endomorphisms or -- </subfield><subfield code="t">automorphisms -- </subfield><subfield code="t">Backmatter</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 provides the first systematic treatment of modules over discrete valuation domains which plays 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 which is supplemented by exercises and interesting open problems. An important contribution to commutative algebra.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</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 28. Feb 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Commutative algebra.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Modules (Algebra).</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebra.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ideal.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Modul.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ring.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">kommutativer Ring.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Group Theory.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Algebra: Ring.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Discrete Valuation Domain.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Module Theory.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tuganbaev, Askar A., </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="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 Expositions in Mathematics Backlist eBook Package</subfield><subfield code="z">9783110494969</subfield><subfield code="o">ZDB-23-EXM</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">DGBA Backlist Complete English Language 2000-2014 PART1</subfield><subfield code="z">9783110238570</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">DGBA Backlist Mathematics 2000-2014 (EN)</subfield><subfield code="z">9783110238471</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">DGBA Mathematics - 2000 - 2014</subfield><subfield code="z">9783110637205</subfield><subfield code="o">ZDB-23-GMA</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">E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008</subfield><subfield code="z">9783110212129</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">E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008</subfield><subfield code="z">9783110212136</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">E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008</subfield><subfield code="z">9783110209082</subfield><subfield code="o">ZDB-23-DMN</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9783110200539</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110205787</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110205787</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9783110205787/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-021213-6 E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008</subfield><subfield code="b">2008</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-023847-1 DGBA Backlist Mathematics 2000-2014 (EN)</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-023857-0 DGBA Backlist Complete English Language 2000-2014 PART1</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</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_EBACKALL</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">2008</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DMN</subfield><subfield code="b">2008</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-EXM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-GMA</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield></record></collection> |