"Azumaya algebra" meaning in English

{
  "etymology_text": "Introduced in a 1951 paper by Goro Azumaya, for the case where R is a commutative local ring.",
  "forms": [
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      "form": "Azumaya algebras",
      "tags": [
        "plural"
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      "expansion": "Azumaya algebra (plural Azumaya algebras)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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          "name": "Mathematics",
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      "glosses": [
        "A generalization of central simple algebras to R-algebras where R need not be a field."
      ],
      "id": "en-Azumaya_algebra-en-noun-abOzKcBX",
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          "mathematics",
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          "generalization",
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      ],
      "raw_glosses": [
        "(mathematics) A generalization of central simple algebras to R-algebras where R need not be a field."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Azumaya algebra",
        "Goro Azumaya"
      ]
    }
  ],
  "word": "Azumaya algebra"
}

{
  "etymology_text": "Introduced in a 1951 paper by Goro Azumaya, for the case where R is a commutative local ring.",
  "forms": [
    {
      "form": "Azumaya algebras",
      "tags": [
        "plural"
      ]
    }
  ],
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      "expansion": "Azumaya algebra (plural Azumaya algebras)",
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  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "A generalization of central simple algebras to R-algebras where R need not be a field."
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        "(mathematics) A generalization of central simple algebras to R-algebras where R need not be a field."
      ],
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        "mathematics",
        "sciences"
      ],
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        "Azumaya algebra",
        "Goro Azumaya"
      ]
    }
  ],
  "word": "Azumaya algebra"
}