Homogeneous Multiplicative Polynomial Laws are Determinants

Details Homogeneous Multiplicative Polynomial Laws are Determinants Homogeneous Multiplicative Polynomial Laws are Determinants

2004-06-09

arxiv.org/abs/math/0406203v1

Mathematics

Rings and Algebras

8 pages, 0 figures, amsppt

Scientific paper

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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