Foundations of Commutative Rings and Their Modules

• Κύριοι συγγραφείς: Wang, Fanggui (Συγγραφέας), Kim, Hwankoo (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2016.
• Σειρά: Algebra and Applications, 22
• Θέματα: Mathematics.; Category theory (Mathematics).; Homological algebra.; Commutative algebra.; Commutative rings.; Commutative Rings and Algebras.; Category Theory, Homological Algebra.

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...

Πίνακας περιεχομένων:

• 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.