algebra over a field in English

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        "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."
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          "word": "ring"
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          "word": "division algebra"
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        "(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."
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-03-18 from the enwiktionary dump dated 2025-03-02 using wiktextract (f2d86ce and 633533e). 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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"algebra over a field" meaning in English

Noun

Inflected forms