English Dictionary

transcendence degree

noun

(algebra, field theory, of a field extension) Given a field extension L / K, the largest cardinality of an algebraically independent subset of L over K.

The transcendence degree of a field extension is a measure of how algebraically independent the elements of the extension are over the base field.

意味（1）

(algebra, field theory, of a field extension) Given a field extension L / K, the largest cardinality of an algebraically independent subset of L over K.

Let F_1/k and F_2/k denote algebraic function fields of transcendence degree one.