Word.ws English Dictionary

k-algebra

k-algebra noun: 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.

Noun

k-algebra (plural k-algebras)

  1. 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.

Synonyms of k-algebra

Forms of k-algebra

pluralk-algebras

Questions about k-algebra

What does k-algebra mean?
K-algebra means 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.
What part of speech is k-algebra?
K-algebra is a noun.
What is the plural of k-algebra?
The plural of k-algebra is k-algebras.

Words near k-algebra in the dictionary

  1. K-9 unit
  2. K-9 units
  3. K-9s
  4. k-adic
  5. k-adic notation
  6. k-algebra
  7. k-anonymity
  8. K-beauty
  9. K-bentonite
  10. k-cell
  11. k-cells

Source and license

Adapted from Wiktionary: k-algebra (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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