A semiprime ring which is also an Artinian ring.
Semisimple Ring
See also
Artinian RingExplore with Wolfram|Alpha
References
Herstein, I. N. "Semisimple Rings." §1.2 in Noncommutative Rings. Washington, DC: Math. Assoc. Amer., pp. 52-56, 1968.Referenced on Wolfram|Alpha
Semisimple RingCite this as:
Weisstein, Eric W. "Semisimple Ring." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SemisimpleRing.html