Algebra homomorphism
RING HOMOMORPHISM PRESERVING SCALAR MULTIPLICATION
Algebra isomorphism; Homomorphism of algebras; Algebra endomorphism; Algebra automorphism
In mathematics, an algebra homomorphism is a homomorphism between two associative algebras. More precisely, if and are algebras over a field (or commutative ring) , it is a function F\colon A\to B such that for all in and in ,