Logo

Commutative Algebra by Jacob Lurie, Akhil Mathew

Small book cover: Commutative Algebra

Commutative Algebra
by

Publisher: Harvard University
Number of pages: 172

Description:
Topics: Unique factorization; Basic definitions; Rings of holomorphic functions; R-modules; Ideals; Localization; SpecR and the Zariski topology; The ideal class group; Dedekind domains; Hom and the tensor product; Exactness; Projective modules; Right-exactness of the tensor product; Flatness; Discrete valuation rings; The adjoint property; etc.

Download or read it online for free here:
Download link
(1.2MB, PDF)

Similar books

Book cover: Commutative AlgebraCommutative Algebra
by - Harvard University
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; etc.
(6102 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.
(5269 views)
Book cover: A Quick Review of Commutative AlgebraA Quick Review of Commutative Algebra
by - 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.
(5988 views)
Book cover: Frobenius Splitting in Commutative AlgebraFrobenius Splitting in Commutative Algebra
by - 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.
(2194 views)