X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-algebra.tex;fp=mjo-algebra.tex;h=c4e70c232ba2ccb8ecbc02a5574052e5cd40a895;hp=fb930279e46e851855845e6e32820e9504ec20a8;hb=914fa9f2b50edcf92abfc98c1341e4c9cd6685f5;hpb=d4abe8806715ebe97343a20ea7a3878307143dc0 diff --git a/mjo-algebra.tex b/mjo-algebra.tex index fb93027..c4e70c2 100644 --- a/mjo-algebra.tex +++ b/mjo-algebra.tex @@ -9,7 +9,17 @@ \usepackage{amsopn} \fi -\input{mjo-common} % for \of, at least +\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