To serve their Country in arms, to die for it and for the King; such was their primitive ideal.

Nilpotent orbits, primitive ideals, and characteristic classes.

Any primitive ideal is prime.

Still and all, there was a basic truth underlying the tales, a primitive ideal to which he could aspire.

J(R) is the intersection of all the right (or left) primitive ideals of R.

In mathematics, a left primitive ideal in ring theory is the annihilator of a simple left module.

The quotient of a ring by a left primitive ideal is a left primitive ring.

Primitive ideal: A left primitive ideal is the annihilator of a simple left module.

A right primitive ideal is defined similarly.

Actually (despite the name) the left and right primitive ideals are always two-sided ideals.