Arithmetical Rings and Endomorphisms /

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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Bibliographic Details
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
Online Access:
Physical Description:1 online resource (XXII, 153 p.)
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Table of 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

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