In mathematics, a left primitive ideal in ring theory is the annihilator of a simple left module. A right primitive ideal is defined similarly. Note that (despite the name) left and right primitive ideals are always two-sided ideals.
The quotient of a ring by a left primitive ideal is a left primitive ring.
Famous quotes containing the words primitive and/or ideal:
“Cannibalism to a certain moderate extent is practised among several of the primitive tribes in the Pacific, but it is upon the bodies of slain enemies alone; and horrible and fearful as the custom is, immeasurably as it is to be abhorred and condemned, still I assert that those who indulge in it are in other respects humane and virtuous.”
—Herman Melville (1819–1891)
“We’re an ideal political family, as accessible as Disneyland.”
—Maureen Reagan (b. 1941)