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algebraic closure

noun

Definitions

  1. A field G such that every polynomial over F splits completely over G (i.e., every element…

    A field G such that every polynomial over F splits completely over G (i.e., every element of G is a root of some polynomial over F and every root of every polynomial over F is an element of G).

    • The calculation of these various Galois groups leads to a determination of the algebraic closures of the ground fields in the splitting fields of the corresponding vectorial polynomials.

The neighborhood

Vish — recursive loop

No curated loop yet for algebraic closure. 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