In mathematics, a binomial ring is a commutative ring whose additive

group A group is a number of persons or things that are located, gathered, or classed together. Groups of people * Cultural group, a group whose members share the same cultural identity * Ethnic group, a group whose members share the same ethnic ide ...

is torsion-free and contains all

binomial coefficient In mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is indexed by a pair of integers and is written \tbinom. It is the coefficient of the t ...

s :

\binom = \frac

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

* * *{{citation, mr=2649360 , last=Yau, first= Donald , title=Lambda-rings, publisher= World Scientific Publishing Co. Pte. Ltd., place= Hackensack, NJ, year= 2010 , isbn= 978-981-4299-09-1 , url=https://books.google.com/books?id=d7vKnjxyvxQC Ring theory