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 |
|---|---|
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| 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 |
| Online Access: | |
| Physical Description: | 1 online resource (VI, 331 p.) |
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| 100 | 1 | |a Krylov, Piotr A., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Modules over Discrete Valuation Rings / |c Piotr A. Krylov, Askar A. Tuganbaev. |
| 250 | |a 2nd, rev. and ext. | ||
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2018] | |
| 264 | 4 | |c ©2018 | |
| 300 | |a 1 online resource (VI, 331 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a De Gruyter Expositions in Mathematics , |x 0938-6572 ; |v 43 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Introduction -- |t 1. Preliminaries -- |t 2. Basic facts -- |t 3. Endomorphism rings of divisible and complete modules -- |t 4. Representation of rings by endomorphism rings -- |t 5. Torsion-free modules -- |t 6. Mixed modules -- |t 7. Determinity of modules by their endomorphism rings -- |t 8. Modules with many endomorphisms or automorphisms -- |t 9. Appendix -- |t Bibliography -- |t Symbols -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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 | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
| 650 | 0 | |a Commutative algebra. | |
| 650 | 0 | |a Modules (Algebra). | |
| 650 | 0 | |a Rings (Algebra). | |
| 650 | 4 | |a Algebra. | |
| 650 | 4 | |a Ideal. | |
| 650 | 4 | |a Kommutativer Ring. | |
| 650 | 4 | |a Modul. | |
| 650 | 4 | |a Ring. | |
| 650 | 7 | |a MATHEMATICS / Algebra / General. |2 bisacsh | |
| 700 | 1 | |a Tuganbaev, Askar A., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus DeG Package 2018 Part 1 |z 9783110762488 |
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| 856 | 4 | 0 | |u https://doi.org/10.1515/9783110611144 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110611144 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110611144/original |
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