代数同态 Algebra homomorphism
（重定向自Algebra isomorphism）
在A和B两个K-多元环之间的同态是指一个函数![F:A\rightarrow B](/Images/godic/202412/18/0f1dc919c903c93b11a16d99c3cb29711848.png")
，此函数能使得对所有在K内的k和在A内的x、y来说，
- F(kx) = kF(x)
- F(x + y) = F(x) + F(y)
- F(xy) = F(x)F(y)
若F是双射的，则F称为是A和B之间的同构。
Algebra isomorphism
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Algebra homomorphism 代数同态
（重定向自Algebra isomorphism）
A homomorphism between two algebras, A and B, over a field (or ring) K, is a map such that for all k in K and x,y in A,
If F is bijective then F is said to be an isomorphism between A and B.
A common abbreviation for "homomorphism between algebras" is "algebra homomorphism" or "algebra map". Every algebra homomorphism is a homomorphism of K-modules.
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