Media Summary: How can we realize finitely generated algebras as finite extensions of polynomial rings, and what does it mean geometrically? In this lecture we talk about a very important LMA which will be used in the proof of notarian Subject:Mathematics Course:Computational Commutative Algebra.
6 4 The Noether Normalization - Detailed Analysis & Overview
How can we realize finitely generated algebras as finite extensions of polynomial rings, and what does it mean geometrically? In this lecture we talk about a very important LMA which will be used in the proof of notarian Subject:Mathematics Course:Computational Commutative Algebra. definition of Krull dimension, lying-over lemma. In this lecture, we'll go over the traditional form of Hilbert's Nullstellensatz. We'll give some preliminaries on algebraic varieties, ... This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers ...
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