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: 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.
(5081 views)
Book cover: Determinantal RingsDeterminantal Rings
by - 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.
(5916 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.
(6090 views)
Book cover: A Primer of Commutative AlgebraA Primer of Commutative Algebra
by
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.
(5212 views)