Logo

A Quick Review of Commutative Algebra

Small book cover: A Quick Review of Commutative Algebra

A Quick Review of Commutative Algebra
by

Publisher: Indian Institute of Technology, Bombay
Number of pages: 13

Description:
These notes attempt to give a rapid review of the rudiments of classical commutative algebra. Some of the main results whose proofs are outlined here are: Hilbert basis theorem, primary decomposition of ideals in noetherian rings, Krull intersection theorem, Going up and Going down theorems for integral extensions, Noether's Normalization Lemma and Hilbert's Nullstellensatz.

Home page url

Download or read it online for free here:
Download link
(200KB, PDF)

Similar books

Book cover: Commutative Algebra and Noncommutative Algebraic GeometryCommutative Algebra and Noncommutative Algebraic Geometry
by - Cambridge University Press
The books cover birational geometry, D-modules, invariant theory, matrix factorizations, noncommutative resolutions, singularity categories, support varieties, tilting theory, etc. These volumes reflect the lively interaction between the subjects.
(4361 views)
Book cover: Commutative AlgebraCommutative Algebra
by - University of Georgia
Contents: Introduction to Commutative Rings; Introduction to Modules; Ideals; Examples of Rings; Swan's Theorem; Localization; Noetherian Rings; Boolean rings; Affine algebras and the Nullstellensatz; The spectrum; Integral extensions; etc.
(9295 views)
Book cover: Lectures on Commutative AlgebraLectures on Commutative Algebra
by - Indian Institute of Technology, Bombay
These lecture notes attempt to give a rapid review of the rudiments of classical commutative algebra. Topics covered: rings and modules, Noetherian rings, integral extensions, Dedekind domains, and primary decomposition of modules.
(7748 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.
(9513 views)