齐次乘法多项式律是行列式
Homogeneous Multiplicative Polynomial Laws are Determinants
摘要:
设R是环,B是交换环.设p是从R到B的n次齐次乘法多项式律。我们证明了p本质上是一个行列式,在这个意义上说,p是从一个行列式的左,右组成环同态。
英文摘要:
Let R be a ring and let B be a commutative ring. Let p be a homogeneous multiplicative polynomial law of degree n from R to B. We show that p is essentially a determinant, in the sense that p is obtained from a determinant by left and right composition with ring homomorphisms.
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