vanishing ideal

noun

An ideal consisting of all polynomials (belonging to a certain polynomial ring) which zero out within a given algebraic variety.

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Meanings

nounvanishing ideal (plural vanishing ideals)

plural vanishing ideals

  1. algebraic geometryAn ideal consisting of all polynomials (belonging to a certain polynomial ring) which zero out within a given algebraic variety.
Cite this entry
APA

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

MLA

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

Chicago

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

Source: vanishing ideal on Wiktionary, CC BY-SA 4.0.