Category:Algebra Homomorphisms
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This category contains results about Algebra Homomorphisms.
Definitions specific to this category can be found in Definitions/Algebra Homomorphisms.
Let $R$ be a commutative ring.
Let $\struct {A, *}$ and $\struct {B, \times}$ be algebras over $R$.
An algebra homomorphism $f : A \to B$ is a module homomorphism such that:
- $\forall a, b \in A : \map f {a * b} = \map f a \times \map f b$
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