Posner's theorem

In algebra, Posner's theorem states that given a prime polynomial identity algebra A with center Z, the ring $A{\otimes }_Z{Z}_{(0)}$ is a central simple algebra over $Z_{(0)}$, the field of fractions of Z. It is named after Ed Posner.

References

• Edward C. Posner, Prime rings satisfying a polynomial identity, Proc. Amer. Math. Soc. 11 (1960), pp. 180–183.