Arithmetical Rings and Endomorphisms

Arithmetical Rings and Endomorphisms

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
Main Author: Tuganbaev, Askar A.
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter, [2019]
Subjects:
Commutative rings.
Endomorphism rings.
Endomorphisms (Group theory)
Modules (Algebra)
Rings (Algebra)
Algebra.
Endomorphismenring.
Ideal {u2039}Mathematik{u203A}.
Modul.
Ring {u2039}Mathematik{u203A}.
MATHEMATICS / Algebra / Abstract.
Commutative rings
Endomorphism rings
EBSCO eBooks
Electronic books.
Online Access:EBSCOhost
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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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