Lectures on Commutative Algebra
by Sudhir R. Ghorpade
Publisher: Indian Institute of Technology, Bombay 2006
Number of pages: 64
Description:
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.
Download or read it online for free here:
Download link
(480KB, PDF)
Similar books
Progress in Commutative Algebra 2: Closures, Finiteness and Factorizationby Christopher Francisco, et al. - De Gruyter Open
This volume contains surveys on closure operations, finiteness conditions and factorization. Closure operations on ideals and modules are a bridge between noetherian and nonnoetherian commutative algebra. It contains a guide to closure operations...
(1693 views)
Introduction to Commutative Algebraby Thomas J. Haines - 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.
(7513 views)
A Quick Review of Commutative Algebraby Sudhir R. Ghorpade - Indian Institute of Technology, Bombay
These notes 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.
(7786 views)
Frobenius Splitting in Commutative Algebraby Karen E. Smith, Wenliang Zhang - arXiv
Frobenius splitting has inspired a vast arsenal of techniques in commutative algebra, algebraic geometry, and representation theory. The purpose of these lectures is to give a gentle introduction to Frobenius splitting for beginners.
(3942 views)