k-algebra en · NOUN
Meanings
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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.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| k-algebras | Number=Plur | lexicographic |
Hypernyms
Meronyms
field · unity · center · identity