"Abelian algebra" meaning in English

See Abelian algebra in All languages combined, or Wiktionary

Noun

Forms: Abelian algebras [plural]
Etymology: From Niels Henrik Abel, Norwegian mathematician. Head templates: {{en-noun}} Abelian algebra (plural Abelian algebras)
  1. (mathematics) Any algebra in which multiplication (or its equivalent) is commutative. Categories (topical): Mathematics Synonyms: commutative algebra, abelian algebra Related terms: abelian group

Inflected forms

Alternative forms

Download JSON data for Abelian algebra meaning in English (1.6kB)

{
  "etymology_text": "From Niels Henrik Abel, Norwegian mathematician.",
  "forms": [
    {
      "form": "Abelian algebras",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Abelian algebra (plural Abelian algebras)",
      "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 entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Any algebra in which multiplication (or its equivalent) is commutative."
      ],
      "id": "en-Abelian_algebra-en-noun-vSOPIKC0",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "multiplication",
          "multiplication"
        ],
        [
          "commutative",
          "commutative"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any algebra in which multiplication (or its equivalent) is commutative."
      ],
      "related": [
        {
          "word": "abelian group"
        }
      ],
      "synonyms": [
        {
          "word": "commutative algebra"
        },
        {
          "word": "abelian algebra"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Abelian algebra"
}
{
  "etymology_text": "From Niels Henrik Abel, Norwegian mathematician.",
  "forms": [
    {
      "form": "Abelian algebras",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Abelian algebra (plural Abelian algebras)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "abelian group"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Mathematics"
      ],
      "glosses": [
        "Any algebra in which multiplication (or its equivalent) is commutative."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "multiplication",
          "multiplication"
        ],
        [
          "commutative",
          "commutative"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any algebra in which multiplication (or its equivalent) is commutative."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "commutative algebra"
    },
    {
      "word": "abelian algebra"
    }
  ],
  "word": "Abelian 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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.