Semiprimitive ring
= Semiprimitive ring
{wiki=Semiprimitive_ring}
A semiprimitive ring is a type of ring in algebra that has specific properties related to its ideal structure. More formally, a ring \\( R \\) is called semiprimitive if it is a direct sum of simple Artinian rings, or equivalently, if its Jacobson radical is zero, i.e., \\\[ \\text\{Jac\}(R) = 0.