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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Superior document: | Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 |
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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.) |
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Other title: | 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 |
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Summary: | 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. |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9783110659825 9783110719567 9783110616859 9783110610765 9783110664232 9783110610406 9783110606362 |
DOI: | 10.1515/9783110659825 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Askar Tuganbaev. |