--- a/preamble.tex	Wed Sep 15 13:30:15 2010 -0500
+++ b/preamble.tex	Wed Sep 15 13:33:14 2010 -0500
@@ -62,8 +62,8 @@
 \newtheorem*{defn*}{Definition}             % unnumbered definition
 \newtheorem{question}{Question}
 \newtheorem{property}{Property}
-\newtheorem{axiom}{Axiom}
-\newtheorem{module-axiom}{Module Axiom}
+\newtheorem{axiom}{Axiom}[section]
+\newtheorem{module-axiom}{Module Axiom}[section]
 \newenvironment{rem}{\noindent\textsl{Remark.}}{}  % perhaps looks better than rem above?
 \newtheorem{rem*}[prop]{Remark}
 \newtheorem{remark}[prop]{Remark}