Arithmetical Rings and Endomorphisms
1st Edition
Published on 4. June 2019
XXII, 153 pages
978-3-11-065982-5 (ISBN)
Description
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.
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Askar Tuganbaev
Arithmetical Rings and Endomorphisms
E-Book
06/2019
1st Edition
De Gruyter
€134.95
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Askar Tuganbaev
Arithmetical Rings and Endomorphisms
Book
06/2019
1st Edition
De Gruyter
€134.95
Shipment within 7-9 days
Person
Askar Tuganbaev
, National Research University MPEI, Russia.
Content
- Intro
- 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
