Homological Conjectures by Tom Marley, Laura Lynch

Small book cover: Homological Conjectures

Homological Conjectures

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

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.

Home page url

Download or read it online for free here:
Download link
(810KB, PDF)

Similar books

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.
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.
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.
Book cover: A Primer of Commutative AlgebraA Primer of Commutative Algebra
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.