Phrase guide

Boolean ring

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

A ring whose multiplicative operation is idempotent.

Definition source: English Wiktionary via Wiktextract

Topics: algebra, mathematics, sciences

Examples

  • 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.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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

Across languages

Translations

1 source translations are retained for this English entry.

  • Polish: pierścień Boole'a — in a venial manner