minimal prime ideal

A prime idealMathworldPlanetmathPlanetmathPlanetmath P of a ring R is called a minimal prime ideal if it does not properly contain any other prime ideal of R.

If R is a prime ringMathworldPlanetmath, then the zero idealMathworldPlanetmathPlanetmath is a prime ideal, and is thus the unique minimal prime ideal of R.

Title minimal prime ideal
Canonical name MinimalPrimeIdeal
Date of creation 2013-03-22 12:01:21
Last modified on 2013-03-22 12:01:21
Owner antizeus (11)
Last modified by antizeus (11)
Numerical id 6
Author antizeus (11)
Entry type Definition
Classification msc 16D80
Related topic ZeroIdeal