In mathematics, a binomial ring is a commutative ring whose additive group is torsion-free and contains all binomial coefficients
\binom{x}{n}=
| x(x-1) … (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.