Theory and Applications of Lattice Point Methods for Binomial Ideals
by Ezra Miller
Publisher: arXiv 2010
Number of pages: 57
This is a survey of methods surrounding lattice point methods for binomial ideals. The exposition 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.
Home page url
Download or read it online for free here:
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.
by Pete L. Clark - University of Georgia
Contents: Introduction to Commutative Rings; Introduction to Modules; Ideals; Examples of Rings; Swan's Theorem; Localization; Noetherian Rings; Boolean rings; Affine algebras and the Nullstellensatz; The spectrum; Integral extensions; etc.
This wikibook is intended to give an introduction to commutative algebra; i.e. it shall comprehensively describe the most important commutative algebraic objects. The axiom of choice will be used, although there is no indication that it is true.
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'.