valuation ring

noun

An integral domain D such that for every element x of its field of fractions F, at least one of x or x⁻¹ belongs to D.

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Meanings

nounvaluation ring (plural valuation rings)

plural valuation rings

  1. algebraAn integral domain D such that for every element x of its field of fractions F, at least one of x or x⁻¹ belongs to D.
Cite this entry
APA

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

MLA

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

Chicago

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

Source: valuation ring on Wiktionary, CC BY-SA 4.0.