# Measures on Boolean algebras

## TL;DR

This paper establishes a precise criterion for when a Boolean algebra can support a finitely additive measure, advancing the understanding of measure theory within algebraic structures.

## Contribution

It provides a necessary and sufficient condition for Boolean algebras to admit finitely additive measures, a key theoretical result.

## Key findings

- Characterization of Boolean algebras with finitely additive measures
- Necessary and sufficient condition derived
- Enhances understanding of measure theory in algebraic contexts

## Abstract

We present a necessary and sufficient condition for a Boolean algebra to carry a finitely additive measure.