X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-algebra.tex;h=4f3f79cd5dab03694d66be516bb4b157c7c1e1c9;hb=42bef52e8272b97d0fae6243dd7621b793086e28;hp=d70d9fd919fa1d39da8036953c03b3d52ce27426;hpb=e157fa83770cf671d8b1ce897964ee5297e0b1eb;p=mjotex.git

diff --git a/mjo-algebra.tex b/mjo-algebra.tex
index d70d9fd..4f3f79c 100644
--- a/mjo-algebra.tex
+++ b/mjo-algebra.tex
@@ -1,5 +1,13 @@
-% Needed for \operatorname.
-\usepackage{amsopn}
+%
+% Abstract algebraic structures.
+%
+\ifx\havemjoalgebra\undefined
+\def\havemjoalgebra{1}
+
+
+\ifx\operatorname\undefined
+  \usepackage{amsopn}
+\fi
 
 % The fraction field of its argument, an integral domain. The name
 % "Frac" was chosen here instead of "Quot" because the latter
@@ -7,7 +15,14 @@
 % some cases for... a quotient field (something mod something).
 \newcommand*{\Frac}[1]{\operatorname{Frac}\of{{#1}}}
 
+% The ideal generated by its argument, a subset consisting of ring or
+% algebra elements.
+\newcommand*{\ideal}[1]{\operatorname{ideal}\of{{#1}}}
+
 % The polynomial ring whose underlying commutative ring of
 % coefficients is the first argument and whose indeterminates (a
 % comma-separated list) are the second argumnt.
 \newcommand*{\polyring}[2]{{#1}\left[{#2}\right]}
+
+
+\fi