k-algebra

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k-algebra

noun k-algebras

An algebra over a field; a ring with identity together with an injective ring homomorphism from a field, k, to the ring such that the image of the field is a subset of the center of the ring and such that the image of the field’s unity is the ring’s unity. A k-algebra A with ring homomorphism ϕ:k→A is a k-vector space with scalar multiplication (i.e., action of k upon A): λ·a=ϕ(λ)a where λ∈k,a∈A.
Similar: algebra over a field

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"k-algebra." Wiktionary, via Micwyn, micwyn.com/word/k-algebra. Accessed 6 Nov. 2026.

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k-algebra. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/k-algebra

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"k-algebra." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/k-algebra.

BibTeX

@misc{k_algebra_2026,
  title = {k-algebra},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/k-algebra},
  urldate = {2026-11-06}
}