Given an ideal , a semiprime ring is one for which implies for any positive . Every prime ring is semiprime.
Semiprime Ring
See also
Prime Ring, Semiprime IdealExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Semiprime Ring." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SemiprimeRing.html