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Homogeneous Multiplicative Polynomial Laws are Determinants

环与代数 2007-05-23 v1 最优化与控制 表示论

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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引用

@article{arxiv.math/0406203,
  title  = {Homogeneous Multiplicative Polynomial Laws are Determinants},
  author = {Francesco Vaccarino},
  journal= {arXiv preprint arXiv:math/0406203},
  year   = {2007}
}

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8 pages, 0 figures, amsppt