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Tag Archives: transcendence degree
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
Commutative Algebra 41
Basic Definitions The objective of this article is to establish the theory of transcendence bases for field extensions. Readers who are already familiar with this may skip the article. We will focus on field extensions here. Definition. Let be a … Continue reading
Posted in Advanced Algebra
Tagged algebraic extensions, fields, transcendence basis, transcendence degree
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