"division algebra" meaning in All languages combined

See division algebra on Wiktionary

Noun [English]

Forms: division algebras [plural]
Head templates: {{en-noun}} division algebra (plural division algebras)
  1. (algebra) A linear algebra such that its non-zero vectors form a multiplicative group. Categories (topical): Algebra Synonyms: associative division algebra Hyponyms: field, quaternions, complex numbers, reals
    Sense id: en-division_algebra-en-noun-vLA0cM~S Topics: algebra, mathematics, sciences
  2. (algebra) An algebra over a field such that every non-zero element of it has a multiplicative inverse. (It is not required to have a unity element.) Categories (topical): Algebra Hyponyms: octonions
    Sense id: en-division_algebra-en-noun-9hoAG4M9 Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 25 75 Topics: algebra, mathematics, sciences

Inflected forms

Download JSON data for division algebra meaning in All languages combined (1.9kB)

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c 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.