Binomial ring

In mathematics, a binomial ring is a commutative ring whose additive group is torsion-free and contains all binomial coefficients

$(\genfrac{}{}{0ex}{}{x}{n})=\frac{x(x-1)\cdots (x-n+1)}{n!}$

for x in the ring and n a positive integer. Binomial rings were introduced by Template:Harvtxt.

Template:Harvtxt showed that binomial rings are essentially the same as λ-rings for which all Adams operations are the identity.

References

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