Foundations of Commutative Rings and Their Modules

This book provides an introduction to the foundations and recent developments in commutative algebra. A look at the contents of the first five chapters shows that the topics covered are those usually found in any textbook on commutative algebra. However, this book differs significantly from most com...

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Detalles Bibliográficos
Main Authors: Wang, Fanggui (Author), Kim, Hwankoo (Author)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:inglés
Publicado: Singapore : Springer Nature Singapore : Imprint: Springer, 2024.
Edición:2nd ed. 2024.
Series:Algebra and Applications, 31
Subjects:
Acceso en liña:https://doi.org/10.1007/978-981-97-5284-3
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Table of Contents:
  • Basic Theory of Rings and Modules
  • Several Classical Module Classes in the Module Category
  • Homological Methods
  • Basic Theory of Noetherian Rings
  • Extensions of Rings
  • w-Modules over Rings
  • Multiplicative Ideal Theory over Integral Domains
  • Structural Theory of Milnor Squares
  • Coherent Rings with Finite Weak Global Dimension
  • Grothendieck Groups of Rings
  • Relative Homological Algebra
  • Cotorsion Theory.