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Tag Archives: noether normalization
Commutative Algebra 43
Catenary Rings Let us look at prime chains in greater detail. Definition. Let be a chain of prime ideals of a ring A. We say the chain is saturated if for any prime ideal of A, ; maximal if it … Continue reading
Posted in Advanced Algebra
Tagged algebras, catenary rings, krull dimension, noether normalization, noetherian
2 Comments
Commutative Algebra 42
Noether Normalization Theorem Throughout this article, k is a field, not necessarily algebraically closed. Definition. Let A be a finitely generated kalgebra which is an integral domain. We say are algebraically independent over k if they are so as elements … Continue reading