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.
(2474 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.
(6093 views)
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.
(5516 views)
Book cover: Introduction to Twisted Commutative AlgebrasIntroduction to Twisted Commutative Algebras
by - arXiv
An expository account of the theory of twisted commutative algebras, which can be thought of as a theory for handling commutative algebras with large groups of linear symmetries. Examples include the coordinate rings of determinantal varieties, etc.
(3373 views)