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Tag Archives: primary decompositions
Commutative Algebra 63
Serre’s Criterion for Normality Throughout this article, fix an algebraically closed field k. In this section, A denotes a noetherian domain. We will describe Serre’s criterion, which is a necessary and sufficient condtion for A to be normal. In the … Continue reading
Commutative Algebra 59
Prime Composition Series Throughout this article, A is a noetherian ring and all Amodules are finitely generated. Recall (proposition 1 here) that if M is a noetherian and artinian module, we can find a sequence of submodules whose consecutive factors … Continue reading