The CRing Project: a collaborative open source textbook on commutative algebra
by Shishir Agrawal, et al.
Publisher: CRing Project 2011
Number of pages: 493
Description:
The CRing project is an open source textbook on commutative algebra, aiming to comprehensively cover the foundations needed for algebraic geometry at the level of EGA or SGA. It is a work in progress. The present project aims at producing a work suitable for a beginning undergraduate with a background in elementary abstract algebra.
Download or read it online for free here:
Download link
(2.8MB, PDF)
Similar books
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.
(12334 views)
Commutative Algebraby Jacob Lurie, Akhil Mathew - 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.
(13544 views)
Determinantal Ringsby Winfried Bruns, Udo Vetter - 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.
(14239 views)
Lectures on Commutative Algebraby Sudhir R. Ghorpade - 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.
(11228 views)