mjo-algebra: add the \ideal{} generated by a set.

[mjotex.git] / examples.tex

diff --git a/examples.tex b/examples.tex
index cb7d28a1f41d3a17c02635b370c3cb0fbe36a54f..af125a726265dbfd53b150bc42cca2cfeb5c3c6f 100644 (file)
--- a/examples.tex
+++ b/examples.tex
@@ -29,7 +29,9 @@
     If $R$ is a \index{commutative ring}, then $\polyring{R}{X,Y,Z}$
     is a multivariate polynomial ring with indeterminates $X$, $Y$,
     and $Z$, and coefficients in $R$. If $R$ is a moreover an integral
-    domain, then its fraction field is $\Frac{R}$.
+    domain, then its fraction field is $\Frac{R}$. If $x,y,z \in R$,
+    then $\ideal{\set{x,y,z}}$ is the ideal generated by $\set{x,y,z}$,
+    which is defined to be the smallest ideal in $R$ containing that set.
   \end{section}
 
   \begin{section}{Algorithm}