A Course in Commutative Algebra TOC 0 Ring Theory Background 0.1 Prime Avoidance 0.2 Jacobson Radicals, Local Rings, and Other Miscellaneous Results 0.3 Nakayama’s Lemma 1 Primary Decomposition and Associated Primes 1.1 Primary Submodules and Ideals 1.2 Primary Decomposition 1.3 Associated Primes 1.4 Associated Primes and Localization 1.5 The Support of a Module 1.6 Artinian [...]















