Rabinowitsch trick [SEP] named after
Rabinowitsch trick
In mathematics, the Rabinowitsch trick, introduced by George Yuri Rainich and published under his original name ,
is a short way of proving the general case of the Hilbert Nullstellensatz from an easier special case (the so-called "weak" Nullstellensatz), by introducing an extra variable.
The Rabinowitsch trick goes as follows. Let "K" be an algebraically closed field. Suppose the polynomial "f" in "K"["x"..."x"] vanishes whenever all polynomials "f"...,"f" vanish.
the Ph.D. thesis of Charles W. Misner. Another version of this tale replaces Bergmann with Hugh Everett, who was a fellow student of Misner at the time.
According to the Editor of "The American Mathematical Monthly", Rainich is the inventor of the Rabinowitsch trick, a clever argument to deduce the Hilbert Nullstellensatz from an easier special case. It is later explained that Rainich was born Rabinowitsch, hence the Pseudonym.
Rainich, as Georg Rabinowitsch, proved new results on Euler's prime-generating polynomial.
Rainich