minimal prime ideal

A prime ideal $P$ 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 ring, then the zero ideal 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