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:
“The primitive wood is always and everywhere damp and mossy, so that I traveled constantly with the impression that I was in a swamp; and only when it was remarked that this or that tract, judging from the quality of the timber on it, would make a profitable clearing, was I reminded, that if the sun were let in it would make a dry field, like the few I had seen, at once.”
—Henry David Thoreau (1817–1862)
“We’re an ideal political family, as accessible as Disneyland.”
—Maureen Reagan (b. 1941)