Foundations of Commutative Rings and Their Modules

This book provides an introduction to the basics and recent developments of commutative algebra. A glance at the contents of the first five chapters shows that the topics covered are ones that usually are included in any commutative algebra text. However, the contents of this book differ significant...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Wang, Fanggui (Author), Kim, Hwankoo (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Singapore : Springer Nature Singapore : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Algebra and Applications, 22
Subjects:
Commutative algebra.
Commutative rings.
Algebra, Homological.
Commutative Rings and Algebras.
Category Theory, Homological Algebra.
Online Access:Texto Completo
Table of Contents:
  • 1 Basic Theory of Rings and Modules
  • 2 The Category of Modules
  • 3 Homological Methods
  • 4 Basic Theory of Noetherian Rings
  • 5 Extensions of Rings
  • 6 w-Modules over Commutative Rings
  • 7 Multiplicative Ideal Theory over Integral Domains
  • 8 Structural Theory of Milnor Squares
  • 9 Coherent Rings with Finite Weak Global Dimension
  • 10 The Grothendieck Group of a Ring
  • 11 Relative Homological Algebra
  • References
  • Index of Symbols
  • Index.

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