"algebra over a field" meaning in All languages combined

See algebra over a field on Wiktionary

Noun [English]

Forms: algebras over a field [plural]
Head templates: {{en-noun|algebras over a field}} algebra over a field (plural algebras over a field)
  1. (algebra) An algebra over a ring such that the ring is in fact a field. As a module over a field, such an algebra is in particular a vector space. Wikipedia link: algebra over a field Categories (topical): Algebra Synonyms: algebra, k-algebra Hypernyms: ring, vector space Hyponyms: associative algebra, division algebra, non-associative algebra Related terms: algebra over a ring
    Sense id: en-algebra_over_a_field-en-noun-BV40zhbH Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: algebra, mathematics, sciences

Inflected forms

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Download raw JSONL data for algebra over a field meaning in All languages combined (1.4kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.