Logo

Commutative Algebra by Keerthi Madapusi

Small book cover: Commutative Algebra

Commutative Algebra
by

Publisher: Harvard University
Number of pages: 177

Description:
Contents: Graded Rings and Modules; Flatness; Integrality: the Cohen-Seidenberg Theorems; Completions and Hensel's Lemma; Dimension Theory; Invertible Modules and Divisors; Noether Normalization and its Consequences; Quasi-finite Algebras and the Main Theorem of Zariski; Regular Sequences and Depth; The Cohen Macaulay Condition; Homological Theory of Regular Rings; Formal Smoothness and the Cohen Structure Theorems; etc.

Home page url

Download or read it online for free here:
Download link
(multiple formats)

Similar books

Book cover: The CRing Project: a collaborative open source textbook on commutative algebraThe CRing Project: a collaborative open source textbook on commutative algebra
by - CRing Project
The CRing project is an open source textbook on commutative algebra, aiming to comprehensively cover the foundations needed for algebraic geometry at the EGA or SGA level. Suitable for a beginning undergraduate with a background in abstract algebra.
(5627 views)
Book cover: Introduction to Twisted Commutative AlgebrasIntroduction to Twisted Commutative Algebras
by - arXiv
An expository account of the theory of twisted commutative algebras, which can be thought of as a theory for handling commutative algebras with large groups of linear symmetries. Examples include the coordinate rings of determinantal varieties, etc.
(3562 views)
Book cover: Determinantal RingsDeterminantal Rings
by - Springer
Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. The book gives a coherent treatment of the structure of determinantal rings. The approach is via the theory of algebras with straightening law.
(6519 views)
Book cover: Homological ConjecturesHomological Conjectures
by - University of Nebraska - Lincoln
This course is an overview of Homological Conjectures, in particular, the Zero Divisor Conjecture, the Rigidity Conjecture, the Intersection Conjectures, Bass' Conjecture, the Superheight Conjecture, the Direct Summand Conjecture, etc.
(7185 views)