Tag Archives: noether normalization

Commutative Algebra 43

Posted on May 1, 2020 by limsup

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 , , , , | 2 Comments

Commutative Algebra 42

Posted on April 30, 2020 by limsup

Noether Normalization Theorem Throughout this article, k is a field, not necessarily algebraically closed. Definition. Let A be a finitely generated k-algebra which is an integral domain. We say are algebraically independent over k if they are so as elements … Continue reading →

Posted in Advanced Algebra | Tagged , , , , , | 4 Comments