algebraic closure (English, noun)
expansion: algebraic closure (plural algebraic closures)
Senses:
topics: algebra
mathematics
sciences
qualifier: field theory
glosses: 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).
raw_tags: of a field F
Forms:
form: algebraic closures
tags: plural