**Homological Conjectures**

by Tom Marley, Laura Lynch

**Publisher**: University of Nebraska - Lincoln 2010**Number of pages**: 56

**Description**:

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, the Monomial Conjecture, the Syzygy Conjecture, and the big and small Cohen Macaulay Conjectures. Many of these are shown to imply others.

Download or read it online for free here:

**Download link**

(810KB, PDF)

## Similar books

**The Algebraic Theory of Modular Systems**

by

**Francis Sowerby Macaulay**-

**Cambridge University Press**

Many of the ideas introduced by F.S. Macaulay in this classic book have developed into central concepts in what has become the branch of mathematics known as Commutative Algebra. Today his name is remembered through the term 'Cohen-Macaulay ring'.

(

**9782**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.

(

**11061**views)

**Progress in Commutative Algebra 2: Closures, Finiteness and Factorization**

by

**Christopher Francisco, et al.**-

**De Gruyter Open**

This volume contains surveys on closure operations, finiteness conditions and factorization. Closure operations on ideals and modules are a bridge between noetherian and nonnoetherian commutative algebra. It contains a guide to closure operations...

(

**4347**views)

**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.

(

**9963**views)