Homogeneous Multiplicative Polynomial Laws Are Determinants
نویسندگان
چکیده
Let R be a ring and let B be a commutative ring. Let p : R −→ B be a homogeneous multiplicative polynomial law of degree n. The main result of this paper is to 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. This is achieved using results on the invariants of matrices in positive characteristic due to S. Donkin [3], [4], A. Zubkov [9], [10] and the author [7].
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