A commutative ring with 1 is called semiprimitive whenever $J(R)=\cap_{m\in Max(R)}m=0$, and a ring is called a Gelfand ring (or a pm ring) if each prime ideal is contained in a unique maximal ideal. It is well known von Neumann regular rings and $C(X)$ ( ring of continuous functions over $X$) are two classes of semiprimitive Gelfand rings. I am looking for some other famous classes of such rings?
2026-04-12 16:58:31.1776013111
Some classes of semiprimitive pm-rings
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