residue field

noun

The quotient ring of a commutative ring divided by one of its maximal ideals; by a certain theorem such a quotient ring must be a field.

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Meanings

nounresidue field (plural residue fields)

plural residue fields

  1. algebraThe quotient ring of a commutative ring divided by one of its maximal ideals; by a certain theorem such a quotient ring must be a field.

Translations

French corps résiduel
  • corps résiduelquotient ring of a commutative ring divided by one of its maximal ideals
Cite this entry
APA

residue field. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/residue%20field

MLA

“residue field.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/residue%20field. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “residue field,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/residue%20field.

Source: residue field on Wiktionary, CC BY-SA 4.0.