Binomial ring

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EnglishBinomial ring

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In mathematics, a binomial ring is a commutative ring whose additive group is torsion-free and contains all binomial coefficients : \binom{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 . showed that binomial rings are essentially the same as λ-rings for which all Adams operations are the identity.

In mathematics, a binomial ring is a commutative ring whose additive group is torsion-free and contains all binomial coefficients \binom{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 . showed that binomial rings are essentially the same as λ-rings for which all Adams operations are the identity. ==References==

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