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: 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.
(10438 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.
(9089 views)
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.
(11403 views)
Book cover: The CRing Project: a collaborative open source textbook on commutative algebraThe CRing Project: a collaborative open source textbook on commutative algebra
by - 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.
(9902 views)