"commutant" meaning in All languages combined

{
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    {
      "args": {
        "1": "en",
        "2": "commute",
        "3": "ant"
      },
      "expansion": "commute + -ant",
      "name": "suffix"
    }
  ],
  "etymology_text": "commute + -ant",
  "forms": [
    {
      "form": "commutants",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "commutant (plural commutants)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms suffixed with -ant",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Logic",
          "orig": "en:Logic",
          "parents": [
            "Formal sciences",
            "Philosophy",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "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",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "logic",
          "logic"
        ],
        [
          "semigroup",
          "semigroup"
        ],
        [
          "commute",
          "commute"
        ]
      ],
      "raw_glosses": [
        "(algebra, logic) The subset of all elements of a semigroup that commute with the elements of a given subset"
      ],
      "topics": [
        "algebra",
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ]
    }
  ],
  "word": "commutant"
}

{
  "head_templates": [
    {
      "args": {
        "1": "fr",
        "2": "present participle"
      },
      "expansion": "commutant",
      "name": "head"
    }
  ],
  "lang": "French",
  "lang_code": "fr",
  "pos": "verb",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "French entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        }
      ],
      "form_of": [
        {
          "word": "commuter"
        }
      ],
      "glosses": [
        "present participle of commuter"
      ],
      "id": "en-commutant-fr-verb-pbUT4pb4",
      "links": [
        [
          "commuter",
          "commuter#French"
        ]
      ],
      "tags": [
        "form-of",
        "participle",
        "present"
      ]
    }
  ],
  "word": "commutant"
}

{
  "forms": [
    {
      "form": "commūtant",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "la",
        "2": "verb form",
        "head": "commūtant"
      },
      "expansion": "commūtant",
      "name": "head"
    }
  ],
  "lang": "Latin",
  "lang_code": "la",
  "pos": "verb",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Latin entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        }
      ],
      "form_of": [
        {
          "word": "commūtō"
        }
      ],
      "glosses": [
        "third-person plural present active indicative of commūtō"
      ],
      "id": "en-commutant-la-verb-C0njT7hH",
      "links": [
        [
          "commūtō",
          "commuto#Latin"
        ]
      ],
      "tags": [
        "active",
        "form-of",
        "indicative",
        "plural",
        "present",
        "third-person"
      ]
    }
  ],
  "word": "commutant"
}

{
  "derived": [
    {
      "word": "commutant lifting theorem"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "commute",
        "3": "ant"
      },
      "expansion": "commute + -ant",
      "name": "suffix"
    }
  ],
  "etymology_text": "commute + -ant",
  "forms": [
    {
      "form": "commutants",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "commutant (plural commutants)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms suffixed with -ant",
        "English terms with quotations",
        "en:Algebra",
        "en:Logic"
      ],
      "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"
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "logic",
          "logic"
        ],
        [
          "semigroup",
          "semigroup"
        ],
        [
          "commute",
          "commute"
        ]
      ],
      "raw_glosses": [
        "(algebra, logic) The subset of all elements of a semigroup that commute with the elements of a given subset"
      ],
      "topics": [
        "algebra",
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ]
    }
  ],
  "word": "commutant"
}

{
  "head_templates": [
    {
      "args": {
        "1": "fr",
        "2": "present participle"
      },
      "expansion": "commutant",
      "name": "head"
    }
  ],
  "lang": "French",
  "lang_code": "fr",
  "pos": "verb",
  "senses": [
    {
      "categories": [
        "French entries with incorrect language header",
        "French non-lemma forms",
        "French present participles"
      ],
      "form_of": [
        {
          "word": "commuter"
        }
      ],
      "glosses": [
        "present participle of commuter"
      ],
      "links": [
        [
          "commuter",
          "commuter#French"
        ]
      ],
      "tags": [
        "form-of",
        "participle",
        "present"
      ]
    }
  ],
  "word": "commutant"
}

{
  "forms": [
    {
      "form": "commūtant",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "la",
        "2": "verb form",
        "head": "commūtant"
      },
      "expansion": "commūtant",
      "name": "head"
    }
  ],
  "lang": "Latin",
  "lang_code": "la",
  "pos": "verb",
  "senses": [
    {
      "categories": [
        "Latin entries with incorrect language header",
        "Latin non-lemma forms",
        "Latin verb forms"
      ],
      "form_of": [
        {
          "word": "commūtō"
        }
      ],
      "glosses": [
        "third-person plural present active indicative of commūtō"
      ],
      "links": [
        [
          "commūtō",
          "commuto#Latin"
        ]
      ],
      "tags": [
        "active",
        "form-of",
        "indicative",
        "plural",
        "present",
        "third-person"
      ]
    }
  ],
  "word": "commutant"
}