Phrase guide

transcendence degree

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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1

noun

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

Qualifier: field theory

Topics: algebra, mathematics, sciences

Examples

  • 2004, F. Hess, An Algorithm for Computing Isomorphisms of Algebraic Function Fields, Duncan Buell (editor), Algorithmic Number Theory: 6th International Symposium, ANTS-VI, LNCS 3076, page 263, Let F_1/k and F_2/k denote algebraic function fields of transcendence degree one.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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