Measure algebra
In mathematics, a measure algebra is a Boolean algebra with a countably additive positive measure. A probability measure on a measure space gives a measure algebra on the Boolean algebra of measurable sets modulo null sets.
Definition
A measure algebra is a Boolean algebra B with a measure m, which is a real-valued function on B such that:- m=0, m=1
- m >0 if x≠0
- m is countably additive: m = Σm if the xi are a countable set of elements that are disjoint.