"Brauer group" meaning in English

{
  "etymology_text": "Defined by the algebraist Richard Brauer.",
  "forms": [
    {
      "form": "Brauer groups",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Brauer group (plural Brauer groups)",
      "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"
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          "source": "w"
        },
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        {
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          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "For a field K, an abelian group whose elements are Morita equivalence classes of central simple algebras over K, with addition given by the tensor product of algebras."
      ],
      "id": "en-Brauer_group-en-noun-UcMMCQjB",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "field",
          "field"
        ],
        [
          "abelian group",
          "abelian group"
        ],
        [
          "element",
          "element"
        ],
        [
          "Morita equivalence",
          "Morita equivalence"
        ],
        [
          "class",
          "class"
        ],
        [
          "tensor product",
          "tensor product"
        ]
      ],
      "raw_glosses": [
        "(mathematics) For a field K, an abelian group whose elements are Morita equivalence classes of central simple algebras over K, with addition given by the tensor product of algebras."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Brauer group"
      ]
    }
  ],
  "word": "Brauer group"
}

{
  "etymology_text": "Defined by the algebraist Richard Brauer.",
  "forms": [
    {
      "form": "Brauer groups",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Brauer group (plural Brauer groups)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
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        "English multiword terms",
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        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "For a field K, an abelian group whose elements are Morita equivalence classes of central simple algebras over K, with addition given by the tensor product of algebras."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "field",
          "field"
        ],
        [
          "abelian group",
          "abelian group"
        ],
        [
          "element",
          "element"
        ],
        [
          "Morita equivalence",
          "Morita equivalence"
        ],
        [
          "class",
          "class"
        ],
        [
          "tensor product",
          "tensor product"
        ]
      ],
      "raw_glosses": [
        "(mathematics) For a field K, an abelian group whose elements are Morita equivalence classes of central simple algebras over K, with addition given by the tensor product of algebras."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Brauer group"
      ]
    }
  ],
  "word": "Brauer group"
}