normal extension

noun

A finite, algebraic extension of some field such that if it contains any root of any irreducible polynomial over that base field then it contains all of the roots of that polynomial.

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Meanings

nounnormal extension (plural normal extensions)

plural normal extensions

  1. algebraA finite, algebraic extension of some field such that if it contains any root of any irreducible polynomial over that base field then it contains all of the roots of that polynomial.
Cite this entry
APA

normal extension. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/normal%20extension

MLA

“normal extension.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/normal%20extension. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “normal extension,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/normal%20extension.

Source: normal extension on Wiktionary, CC BY-SA 4.0.