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prime ring (0 synonym found)
We don't have any synonyms for prime ring yet.
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Definition of prime ring:
(n) :
(algebra, ring theory) 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.
(n) :
(algebra, ring theory) Synonym of prime subring.
(n) :
(algebra, ring theory, uncommon) A ring which is equal to its own prime subring.
Definition of prime ring:
(n) :
(algebra, ring theory) 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.
(n) :
(algebra, ring theory) Synonym of prime subring.
(n) :
(algebra, ring theory, uncommon) A ring which is equal to its own prime subring.
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