Arithmetical Rings and Endomorphisms / / Askar Tuganbaev.

• Superior document: Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019
• VerfasserIn: Tuganbaev, Askar,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2019]; ©2019
• Year of Publication: 2019
• Language: English
• Physical Description: 1 online resource (XXII, 153 p.)
• 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
• 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.

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.