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: A Course In Commutative AlgebraA Course In Commutative Algebra
by - University of Illinois
This is a text for a basic course in commutative algebra, it should be accessible to those who have studied algebra at the beginning graduate level. The book should help the student reach an advanced level as quickly and efficiently as possible.
(13644 views)
Book cover: Theory and Applications of Lattice Point Methods for Binomial IdealsTheory and Applications of Lattice Point Methods for Binomial Ideals
by - arXiv
This is a survey of lattice point methods for binomial ideals. It is aimed at students and researchers in algebra; it includes many examples, open problems, and elementary introductions to the motivations and background from outside of algebra.
(6022 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.
(7501 views)
Book cover: Introduction to Commutative AlgebraIntroduction to Commutative Algebra
by - University of Maryland
Notes for an introductory course on commutative algebra. Algebraic geometry uses commutative algebraic as its 'local machinery'. The goal of these lectures is to study commutative algebra and some topics in algebraic geometry in a parallel manner.
(6474 views)