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: 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.
(9336 views)
Book cover: A Primer of Commutative AlgebraA Primer of Commutative Algebra
by
These notes prove the basic theorems in commutative algebra required for algebraic geometry and algebraic groups. They assume only a knowledge of the algebra usually taught in advanced undergraduate or first-year graduate courses.
(9607 views)
Book cover: Commutative AlgebraCommutative Algebra
by - Harvard University
Topics: Unique factorization; Basic definitions; Rings of holomorphic functions; R-modules; Ideals; Localization; SpecR and Zariski topology; The ideal class group; Dedekind domains; Hom and the tensor product; Exactness; Projective modules; etc.
(11071 views)
Book cover: Trends in Commutative AlgebraTrends in Commutative Algebra
by - Cambridge University Press
This book focuses on the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology and representation theory, and combinatorics, with all necessary background provided.
(10890 views)