A Primer of Commutative Algebra
by J.S. Milne
2011
Number of pages: 75
Description:
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. However, they are quite concise.
Download or read it online for free here:
Download link
(690KB, PDF)
Similar books
The CRing Project: a collaborative open source textbook on commutative algebraby Shishir Agrawal, et al. - 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.
(5085 views)
The Algebraic Theory of Modular Systemsby Francis Sowerby Macaulay - Cambridge University Press
Many of the ideas introduced by F.S. Macaulay in this classic book have developed into central concepts in what has become the branch of mathematics known as Commutative Algebra. Today his name is remembered through the term 'Cohen-Macaulay ring'.
(5047 views)
Homological Conjecturesby Tom Marley, Laura Lynch - 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.
(6493 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.
(5979 views)