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,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。
单词 | Algebra isomorphism |
释义 |
Algebra isomorphism
中文百科
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
若F是双射的,则F称为是A和B之间的同构。
英语百科
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 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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