Commutative Algebra
by Keerthi Madapusi
Publisher: Harvard University 2007
Number of pages: 177
Description:
Contents: Graded Rings and Modules; Flatness; Integrality: the Cohen-Seidenberg Theorems; Completions and Hensel's Lemma; Dimension Theory; Invertible Modules and Divisors; Noether Normalization and its Consequences; Quasi-finite Algebras and the Main Theorem of Zariski; Regular Sequences and Depth; The Cohen Macaulay Condition; Homological Theory of Regular Rings; Formal Smoothness and the Cohen Structure Theorems; etc.
Download or read it online for free here:
Download link
(multiple formats)
Similar books
A Course In Commutative Algebraby Robert B. Ash - 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.
(19755 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.
(13135 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.
(12023 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.
(11976 views)