Introduction to Commutative Algebra
by Thomas J. Haines
Publisher: University of Maryland 2005
Number of pages: 87
Notes for an introductory course on commutative algebra. Algebraic geometry uses commutative algebraic as its 'local machinery'. The goal of these lecture notes is to study commutative algebra and some topics in algebraic geometry in a parallel manner.
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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.
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