X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-algebra.tex;h=7ff7b5ae737ac2c14cbe4eda7af0a4f72fde2a5d;hb=3dfec40b7f8df25dad0bcefb2d14d27789960a3e;hp=59d94874e9a13e38a83bb5274e3c5666fa9e17d3;hpb=85d35b1401a30045cb5b3bca5e8faea5a3248bb3;p=mjotex.git diff --git a/mjo-algebra.tex b/mjo-algebra.tex index 59d9487..7ff7b5a 100644 --- a/mjo-algebra.tex +++ b/mjo-algebra.tex @@ -9,7 +9,17 @@ \usepackage{amsopn} \fi -\input{mjo-common} +\input{mjo-common} % for \of, and \binopmany + + +% The direct sum of two things. +\newcommand*{\directsum}[2]{ {#1}\oplus{#2} } + +% The direct sum of three things. +\newcommand*{\directsumthree}[3]{ \directsum{#1}{\directsum{#2}{#3}} } + +% The (indexed) direct sum of many things. +\newcommand*{\directsummany}[3]{ \binopmany{\bigoplus}{#1}{#2}{#3} } % The (sub)algebra generated by its argument, a subset of some ambient @@ -47,6 +57,13 @@ % coefficients is the first argument and whose indeterminates (a % comma-separated list) are the second argumnt. \newcommand*{\polyring}[2]{{#1}\left[{#2}\right]} +\ifdefined\newglossaryentry + \newglossaryentry{polyring}{ + name={\ensuremath{\polyring{R}{X}}}, + description={polynomials with coefficients in $R$ and variable $X$}, + sort=p + } +\fi \fi