Commutative Algebra Notes by Branden Stone
File Type :Online Number of Pages :NA
Description This note covers the following topics:
Rings, Ideals, and Maps, Homomorphisms and Isomorphisms, Ideals and Quotient
Rings, Prime Ideals, Unique Factorization Domain, Modules, Submodules and Maps,
Tensor Products, Localization, Chain Conditions, Noetherian Rings, Noetherian
Modules, Artinian Rings, Primary Decomposition, Integral Closure, Krull’s
Theorems and Dedekind Domains, Hilbert Functions and Multiplicities, The
Hilbert-Samuel Polynomial, Multiplicities, Superficial Elements and Integral
Closure of Ideals.
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