algebra over a field

noun

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.

Similar
algebrak-algebra
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Meanings

nounalgebra over a field (plural algebras over a field)

plural algebras over a field

  1. algebraAn 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.

    Synonyms: algebra, k-algebra

Synonyms & antonyms

nounAn 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.

Similar
algebrak-algebra
Also see
algebrak-algebra
Cite this entry
APA

algebra over a field. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/algebra%20over%20a%20field

MLA

“algebra over a field.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/algebra%20over%20a%20field. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “algebra over a field,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/algebra%20over%20a%20field.

Source: algebra over a field on Wiktionary, CC BY-SA 4.0.