科研之友
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摘要
A discriminant algebra operation sends a commutative ring R and an R-algebra A of rank n to an R-algebra Delta(A/R) of rank 2 with the same discriminant bilinear form. Constructions of discriminant algebra operations have been put forward by Rost, Deligne, and Loos. We present a simpler and more explicit construction that does not break down into cases based on the parity of n. We then prove properties of this construction, and compute some examples explicitly.
- 出版日期2016
