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...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
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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 |
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