prime rings

A form of prime ring — Any nonzero ring R such that for any two (two-sided) ideals P and Q in R, the product PQ = 0 (the zero ideal) if and only if P = 0 or Q = 0.

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Meanings

noun
  1. pluralplural of prime ring
Cite this entry
APA

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

MLA

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

Chicago

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

Source: prime rings on Wiktionary, CC BY-SA 4.0.