Primitive ideal

Not to be confused with primary ideal or principal 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. 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.

References


This article is issued from Wikipedia - version of the 8/28/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.