Algebra homomorphism
From Exampleproblems
A homomorphism between two algebras over a field K, A and B, is a map
such that for all k in K and x,y in A,
- F(kx)=kF(x)
- F(x+y)=F(x)+F(y)
- F(xy)=F(x)F(y)
A homomorphism between two algebras over a field K, A and B, is a map
such that for all k in K and x,y in A,