"Boolean ring" meaning in English

See Boolean ring in All languages combined, or Wiktionary

Noun

Forms: Boolean rings [plural]
Etymology: Named after George Boole (1815–1864), an English mathematician, educator, philosopher and logician. Head templates: {{en-noun}} Boolean ring (plural Boolean rings)
  1. (algebra) A ring whose multiplicative operation is idempotent. Wikipedia link: Boolean ring, George Boole Categories (topical): Algebra, Ring theory Hypernyms: linear algebra Related terms: Boolean algebra, ring sum normal form
    Sense id: en-Boolean_ring-en-noun-g4-jEF4P Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: algebra, mathematics, sciences

Inflected forms

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      "examples": [
        {
          "text": "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.",
          "type": "example"
        }
      ],
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        "A ring whose multiplicative operation is idempotent."
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        "(algebra) A ring whose multiplicative operation is idempotent."
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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