Prime ring

Noun

Definitions

1.NounAny nonzero ring R such that for any two (two-sided) ideals P and Q in R, the product PQ = 0 (the zero ideal) if and only if P = 0 or Q = 0.

2.NounSynonym of prime subring. A ring which is equal to its own prime subring.

3.NounA ring which is equal to its own prime subring.

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