\documentclass{article}
\usepackage{amsmath}
\usepackage{amscd}
\newcommand{\End}{\operatorname{End}}
\newcommand{\cov}{\operatorname{cov}}
\newcommand{\non}{\operatorname{non}}
\newcommand{\add}{\operatorname{add}}
\newcommand{\cf}{\operatorname{cf}}
\begin{document}
\begin{equation}
\begin{CD}
S^{{\mathcal{W}}_\Lambda}\otimes T @>j>> T\\
@VVV @VV{\End P}V\\
(S\otimes T)/I @= (Z\otimes T)/J
\end{CD}
\end{equation}
\begin{equation}
\begin{CD}
\cov(\mathcal{L}) @>>> \non(\mathcal{K}) @>>> \cf(\mathcal{K}) @>>> \cf(\mathcal{L})\\
@VVV @AAA @AAA @VVV\\
\add(\mathcal{L}) @>>> \add(\mathcal{K}) @>>> \cov(\mathcal{K}) @>>> \non(\mathcal{L})
\end{CD}
\end{equation}
\end{document}