X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-algebra.tex;h=4f3f79cd5dab03694d66be516bb4b157c7c1e1c9;hb=42bef52e8272b97d0fae6243dd7621b793086e28;hp=010ab0512a5b719aeafdc40283eebff3b969b89c;hpb=cd69cb906bece22ab124082f723cc08d460b7f83;p=mjotex.git diff --git a/mjo-algebra.tex b/mjo-algebra.tex index 010ab05..4f3f79c 100644 --- a/mjo-algebra.tex +++ b/mjo-algebra.tex @@ -1,9 +1,13 @@ % % Abstract algebraic structures. % +\ifx\havemjoalgebra\undefined +\def\havemjoalgebra{1} -% Needed for \operatorname. -\usepackage{amsopn} + +\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 @@ -11,7 +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