X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-algebra.tex;h=36ad4bd64888c1b2926ff2d454c989e3a561a6aa;hb=2398b156d5cec30d4ede3e65ae1c89ad08551447;hp=c4e70c232ba2ccb8ecbc02a5574052e5cd40a895;hpb=914fa9f2b50edcf92abfc98c1341e4c9cd6685f5;p=mjotex.git diff --git a/mjo-algebra.tex b/mjo-algebra.tex index c4e70c2..36ad4bd 100644 --- a/mjo-algebra.tex +++ b/mjo-algebra.tex @@ -12,6 +12,18 @@ \input{mjo-common} % for \of, and \binopmany +% The multiplicative identity element of its argument, which should be +% an algebraic structure. +\newcommand*{\unit}[1]{ 1_{{#1}} } + +\ifdefined\newglossaryentry + \newglossaryentry{unit}{ + name={\ensuremath{\unit{R}}}, + description={the multiplicative identity (unit) element of $R$}, + sort=u + } +\fi + % The direct sum of two things. \newcommand*{\directsum}[2]{ {#1}\oplus{#2} } @@ -57,6 +69,13 @@ % 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