algebraic closures

A form of algebraic closure — 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).

Meanings

noun
  1. pluralplural of algebraic closure
Cite this entry
APA

algebraic closures. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/algebraic%20closures

MLA

“algebraic closures.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/algebraic%20closures. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “algebraic closures,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/algebraic%20closures.

Source: algebraic closures on Wiktionary, CC BY-SA 4.0.