A Primer of Commutative Algebra
by J.S. Milne
2011
Number of pages: 75
Description:
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.
Download or read it online for free here:
Download link
(690KB, PDF)
Similar books

by Steven V Sam, Andrew Snowden - 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.
(7012 views)

by David Eisenbud, et al. - 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.
(5628 views)

by Thomas J. Haines - 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.
(9720 views)

by Jacob Lurie, Akhil Mathew - 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.
(10487 views)