Algebraic closure

Noun

Word Frequency: 0.0

Definitions

1.NounA 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).

Synonyms

algebraic extension separable polynomial splitting field galois extension root field finite field separable extension perfect field fixed field field extension algebra over a field abel's irreducibility theorem

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