prime ring (English, noun)
expansion: prime ring (plural prime rings)
Senses:
topics: algebra
mathematics
sciences
qualifier: ring theory
glosses: Any 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.
topics: algebra
mathematics
sciences
qualifier: ring theory
glosses: Synonym of prime subring.
topics: algebra
mathematics
sciences
qualifier: ring theory
glosses: Synonym of prime subring.
A ring which is equal to its own prime subring.
tags: uncommon
Forms:
form: prime rings
tags: plural