"commutant" meaning in English

See commutant in All languages combined, or Wiktionary

Noun

Forms: commutants [plural]
Etymology: From commute + -ant. Etymology templates: {{suffix|en|commute|ant}} commute + -ant Head templates: {{en-noun}} commutant (plural commutants)
  1. (algebra, logic) The subset of all elements of a semigroup that commute with the elements of a given subset Categories (topical): Algebra, Logic Derived forms: bicommutant, commutant lifting theorem

Inflected forms

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      "args": {
        "1": "en",
        "2": "commute",
        "3": "ant"
      },
      "expansion": "commute + -ant",
      "name": "suffix"
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  ],
  "etymology_text": "From commute + -ant.",
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      "tags": [
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  "lang_code": "en",
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      "derived": [
        {
          "word": "bicommutant"
        },
        {
          "word": "commutant lifting theorem"
        }
      ],
      "examples": [
        {
          "ref": "2008 September 27, John Earman, “Superselection Rules for Philosophers”, in Erkenntnis, volume 69, number 3, →DOI",
          "text": "The basic mathematical entity to be used here in elucidating the different senses of superselection rules is a von Neumann algebra #x7B;#x5C;mathfrak#x7B;M, a concrete C * -algebra 6 of bounded linear operators acting on a Hilbert space 7 ℋ that is closed in the weak topology 8 or, equivalently, 9 that has the property that (𝔐^′)^′:=𝔐=𝔐, where “′” denotes the commutant.}}",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The subset of all elements of a semigroup that commute with the elements of a given subset"
      ],
      "id": "en-commutant-en-noun-8OxM~~8g",
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          "commute"
        ]
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      "raw_glosses": [
        "(algebra, logic) The subset of all elements of a semigroup that commute with the elements of a given subset"
      ],
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{
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  ],
  "etymology_text": "From commute + -ant.",
  "forms": [
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        {
          "ref": "2008 September 27, John Earman, “Superselection Rules for Philosophers”, in Erkenntnis, volume 69, number 3, →DOI",
          "text": "The basic mathematical entity to be used here in elucidating the different senses of superselection rules is a von Neumann algebra #x7B;#x5C;mathfrak#x7B;M, a concrete C * -algebra 6 of bounded linear operators acting on a Hilbert space 7 ℋ that is closed in the weak topology 8 or, equivalently, 9 that has the property that (𝔐^′)^′:=𝔐=𝔐, where “′” denotes the commutant.}}",
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        [
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        ]
      ],
      "raw_glosses": [
        "(algebra, logic) The subset of all elements of a semigroup that commute with the elements of a given subset"
      ],
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}

Download raw JSONL data for commutant meaning in English (1.7kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-09-01 from the enwiktionary dump dated 2024-08-20 using wiktextract (8e41825 and f99c758). 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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