Definitions from Wiktionary (prime ring)
▸ noun: (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.
▸ noun: (algebra, ring theory) Synonym of prime subring
▸ noun: (algebra, ring theory, uncommon) A ring which is equal to its own prime subring.
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▸ noun: (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.
▸ noun: (algebra, ring theory) Synonym of prime subring
▸ noun: (algebra, ring theory, uncommon) A ring which is equal to its own prime subring.
Similar:
simple ring,
principal ideal ring,
prime ideal,
product ring,
division ring,
local ring,
reduced ring,
quotient ring,
factor ideal,
factor ring,
more...
Opposite:
▸ Words similar to prime ring
▸ Usage examples for prime ring
▸ Idioms related to prime ring
▸ Wikipedia articles (New!)
▸ Words that often appear near prime ring
▸ Rhymes of prime ring
▸ Invented words related to prime ring