Boolean ring

noun

A ring whose multiplicative operation is idempotent.

“From the defining idempotency property of a Boolean ring it is possible to prove that such ring has to have the further properties that each element is its own inverse and that such ring must be commutative.”

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Meanings

nounBoolean ring (plural Boolean rings)

plural Boolean rings

  1. algebraA ring whose multiplicative operation is idempotent.

    From the defining idempotency property of a Boolean ring it is possible to prove that such ring has to have the further properties that each element is its own inverse and that such ring must be commutative.

Origin

Named after George Boole (1815–1864), an English mathematician, educator, philosopher and logician.

Full word history & related roots →

Translations

Polish pierścień Boole'a
  • pierścień Boole'ain a venial manner
Cite this entry
APA

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

MLA

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

Chicago

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

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