algebra over a field

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algebra over a field

noun algebras over a field

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: algebra, k-algebra

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"algebra over a field." Wiktionary, via Micwyn, micwyn.com/word/algebra%20over%20a%20field. Accessed 6 Nov. 2026.

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algebra over a field. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/algebra%20over%20a%20field

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"algebra over a field." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/algebra%20over%20a%20field.

BibTeX

@misc{algebra_over_a_field_2026,
  title = {algebra over a field},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/algebra%20over%20a%20field},
  urldate = {2026-11-06}
}