noun
Meaning 1
Any pair of fields, denoted L/K, such that K is a subfield of L.
Definition source: English Wiktionary via Wiktextract
Qualifier: field theory
Topics: algebra, algebraic-geometry, geometry, mathematics, sciences
Examples
- 1998, David Goss, Basic Structures of Function Field Arithmetic, Springer, Corrected 2nd Printing, page 283, Note that the extension of L obtained by adjoining all division points of ψ includes at most a finite constant field extension.
- 2007, Pierre Antoine Grillet, Abstract Algebra, Springer, 2bd Edition, page 530, A field extension of a field K is, in particular, a K-algebra. Hence any two field extensions of K have a tensor product that is a K-algebra.
Meaning relationships
Synonyms: none provided
Antonyms: none provided