**Commutative Algebra**

by Jacob Lurie, Akhil Mathew

**Publisher**: Harvard University 2010**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

**The CRing Project: a collaborative open source textbook on commutative algebra**

by

**Shishir Agrawal, et al.**-

**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.

(

**5316**views)

**Frobenius Splitting in Commutative Algebra**

by

**Karen E. Smith, Wenliang Zhang**-

**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.

(

**2422**views)

**Trends in Commutative Algebra**

by

**Luchezar L. Avramov, at al.**-

**Cambridge University Press**

This book focuses on the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology and representation theory, and combinatorics, with all necessary background provided.

(

**6908**views)

**Homological Conjectures**

by

**Tom Marley, Laura Lynch**-

**University of Nebraska - Lincoln**

This course is an overview of Homological Conjectures, in particular, the Zero Divisor Conjecture, the Rigidity Conjecture, the Intersection Conjectures, Bass' Conjecture, the Superheight Conjecture, the Direct Summand Conjecture, etc.

(

**6868**views)