non-associative algebra in English

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{
  "antonyms": [
    {
      "word": "associative algebra"
    }
  ],
  "forms": [
    {
      "form": "non-associative algebras",
      "tags": [
        "plural"
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      "glosses": [
        "An algebra over a field whose bilinear product is not necessarily associative."
      ],
      "hyponyms": [
        {
          "word": "associative algebra"
        },
        {
          "word": "Lie algebra"
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          "bilinear",
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          "associative",
          "associative"
        ]
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      "raw_glosses": [
        "(algebra) An algebra over a field whose bilinear product is not necessarily associative."
      ],
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        "algebra",
        "mathematics",
        "sciences"
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      ],
      "glosses": [
        "An algebra over a ring whose bilinear product is not necessarily associative."
      ],
      "hyponyms": [
        {
          "word": "associative algebra"
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      "id": "en-non-associative_algebra-en-noun-TM7uXVhT",
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        "(algebra) An algebra over a ring whose bilinear product is not necessarily associative."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "wikipedia": [
    "non-associative algebra"
  ],
  "word": "non-associative algebra"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "antonyms": [
    {
      "word": "associative algebra"
    }
  ],
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English nouns"
  ],
  "forms": [
    {
      "form": "non-associative algebras",
      "tags": [
        "plural"
      ]
    }
  ],
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  "lang_code": "en",
  "pos": "noun",
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      ],
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          "word": "associative algebra"
        },
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          "word": "Lie algebra"
        },
        {
          "word": "composition algebra"
        }
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      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "algebra over a field",
          "algebra over a field"
        ],
        [
          "bilinear",
          "bilinear"
        ],
        [
          "associative",
          "associative"
        ]
      ],
      "raw_glosses": [
        "(algebra) An algebra over a field whose bilinear product is not necessarily associative."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
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        "en:Algebra"
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      "glosses": [
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      ],
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        {
          "word": "associative algebra"
        }
      ],
      "links": [
        [
          "algebra",
          "algebra"
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          "algebra over a ring",
          "algebra over a ring"
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        "(algebra) An algebra over a ring whose bilinear product is not necessarily associative."
      ],
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        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "wikipedia": [
    "non-associative algebra"
  ],
  "word": "non-associative algebra"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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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"non-associative algebra" meaning in English

Noun