A Primer of Commutative Algebra

Small book cover: A Primer of Commutative Algebra

A Primer of Commutative Algebra

Number of pages: 75

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. However, they are quite concise.

Home page url

Download or read it online for free here:
Download link
(690KB, PDF)

Similar books

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.
Book cover: Homological ConjecturesHomological Conjectures
by - University of Nebraska - Lincoln
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, etc.
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.
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.