Logo

Homological Conjectures by Tom Marley, Laura Lynch

Small book cover: Homological Conjectures

Homological Conjectures
by

Publisher: University of Nebraska - Lincoln
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.

Home page url

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

Similar books

Book cover: Frobenius Splitting in Commutative AlgebraFrobenius Splitting in Commutative Algebra
by - 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.
(7492 views)
Book cover: Commutative AlgebraCommutative Algebra
by - Harvard University
Topics: Unique factorization; Basic definitions; Rings of holomorphic functions; R-modules; Ideals; Localization; SpecR and Zariski topology; The ideal class group; Dedekind domains; Hom and the tensor product; Exactness; Projective modules; etc.
(11858 views)
Book cover: Commutative Algebra and Noncommutative Algebraic GeometryCommutative Algebra and Noncommutative Algebraic Geometry
by - Cambridge University Press
The books cover birational geometry, D-modules, invariant theory, matrix factorizations, noncommutative resolutions, singularity categories, support varieties, tilting theory, etc. These volumes reflect the lively interaction between the subjects.
(6642 views)
Book cover: The Algebraic Theory of Modular SystemsThe Algebraic Theory of Modular Systems
by - 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'.
(10145 views)