Logo

Progress in Commutative Algebra 2: Closures, Finiteness and Factorization

Large book cover: Progress in Commutative Algebra 2: Closures, Finiteness and Factorization

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

Publisher: De Gruyter Open
ISBN-13: 9783110278606
Number of pages: 315

Description:
This volume contains surveys on aspects of closure operations, finiteness conditions and factorization. Closure operations on ideals and modules are a bridge between noetherian and nonnoetherian commutative algebra. It contains a nice guide to closure operations by Epstein, but also contains an article on test ideals by Schwede and Tucker and one by Enescu which discusses the action of the Frobenius on finite dimensional vector spaces both of which are related to tight closure.

Home page url

Download or read it online for free here:
Download link
(multiple PDF files)

Similar books

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.
(1500 views)
Book cover: Introduction to Commutative AlgebraIntroduction to Commutative Algebra
by - University of Maryland
Notes for an introductory course on commutative algebra. Algebraic geometry uses commutative algebraic as its 'local machinery'. The goal of these lectures is to study commutative algebra and some topics in algebraic geometry in a parallel manner.
(6011 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.
(3481 views)
Book cover: Lectures on Commutative AlgebraLectures on Commutative Algebra
by - Indian Institute of Technology, Bombay
These lecture notes attempt to give a rapid review of the rudiments of classical commutative algebra. Topics covered: rings and modules, Noetherian rings, integral extensions, Dedekind domains, and primary decomposition of modules.
(5143 views)