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transcendence degree

noun

Definitions

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

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

    • Proposition 2.1.1 Every finite matrix group #92;Gamma#92;subset#92;operatorname#123;GL#125;(#92;Cⁿ) has n algebraically independent invariants, i.e., the ring #92;C#91;x#93;#92;Gamma has transcendence degree n over #92;C.

The neighborhood

Vish — recursive loop

No curated loop yet for transcendence degree. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA