X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=examples.tex;h=af125a726265dbfd53b150bc42cca2cfeb5c3c6f;hp=cb7d28a1f41d3a17c02635b370c3cb0fbe36a54f;hb=42bef52e8272b97d0fae6243dd7621b793086e28;hpb=37b342a8a6fada8b0fbe828bdf97f346b538f5f4 diff --git a/examples.tex b/examples.tex index cb7d28a..af125a7 100644 --- 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}