58 lines
1.6 KiB
TeX
58 lines
1.6 KiB
TeX
\newcommand{\A}{\mathbb{A}}
|
|
\newcommand{\N}{\mathbb{N}}
|
|
\newcommand{\Z}{\mathbb{Z}}
|
|
\newcommand{\Q}{\mathbb{Q}}
|
|
|
|
\newcommand{\length}{\ell}
|
|
|
|
\newcommand{\mfa}{\mathfrak{a}}
|
|
\newcommand{\mfb}{\mathfrak{b}}
|
|
\newcommand{\mfd}{\mathfrak{d}}
|
|
\newcommand{\mfm}{\mathfrak{m}}
|
|
\newcommand{\mfn}{\mathfrak{n}}
|
|
\newcommand{\mfp}{\mathfrak{p}}
|
|
\newcommand{\mfq}{\mathfrak{q}}
|
|
\newcommand{\mfr}{\mathfrak{r}}
|
|
\newcommand{\mfs}{\mathfrak{s}}
|
|
\newcommand{\mfP}{\mathfrak{P}}
|
|
\newcommand{\mfQ}{\mathfrak{Q}}
|
|
|
|
\newcommand{\bmx}{\bm{\mathrm{x}}}
|
|
\newcommand{\bmy}{\bm{\mathrm{y}}}
|
|
\newcommand{\bmX}{\bm{\mathrm{X}}}
|
|
|
|
\newcommand{\mcI}{\mathcal{I}}
|
|
\newcommand{\mcM}{\mathcal{M}}
|
|
\newcommand{\mcN}{\mathcal{N}}
|
|
\newcommand{\mcO}{\mathcal{O}}
|
|
\newcommand{\mcZ}{\mathcal{Z}}
|
|
\DeclareMathOperator{\mcTor}{\mathcal{T}\!\mathit{or}}
|
|
|
|
\DeclareMathOperator{\Ann}{Ann}
|
|
\DeclareMathOperator{\Ch}{Ch}
|
|
\DeclareMathOperator{\codim}{codim}
|
|
\DeclareMathOperator{\coker}{coker}
|
|
\DeclareMathOperator{\Ext}{Ext}
|
|
\DeclareMathOperator{\globdim}{globdim}
|
|
\DeclareMathOperator{\gr}{gr}
|
|
\DeclareMathOperator{\height}{ht}
|
|
\DeclareMathOperator{\map}{map}
|
|
\DeclareMathOperator{\Mod}{Mod}
|
|
\DeclareMathOperator{\Quot}{Quot}
|
|
\DeclareMathOperator{\Rad}{Rad}
|
|
\DeclareMathOperator{\rk}{rk}
|
|
\DeclareMathOperator{\Spec}{Spec}
|
|
\DeclareMathOperator{\Supp}{Supp}
|
|
\DeclareMathOperator{\Tor}{Tor}
|
|
|
|
\newcommand{\hatotimes}{\mathbin{\widehat{\otimes}}}
|
|
|
|
\DeclareMathOperator{\BTor}{\mathbf{Tor}}
|
|
\DeclareMathOperator{\ITor}{\mathit{Tor}}
|
|
|
|
\DeclareMathOperator{\pplus}{\phantom{+}}
|
|
\DeclareMathOperator{\poplus}{\phantom{\oplus}}
|
|
\DeclareMathOperator{\peq}{\phantom{=}}
|
|
|
|
\usepackage{color}
|
|
\newcommand{\todo}[1]{\marginpar{\color{red}#1}} |