Primitive ideal
From Wikipedia, the free encyclopedia
Not to be confused with primary ideal.
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 primitive ideal is a primitive ring.
[edit] References
- Isaacs, I. Martin (1994), Algebra, Brooks/Cole Publishing Company, ISBN 0-534-19002-2
