\documentclass[a4paper,12pt]{article}
\usepackage{amsthm,amssymb,amsmath}
\usepackage{tikz}
\begin{document}
\tikzset{node distance=2cm, auto}
\begin{tikzpicture}[line width=.5pt]%[style={very thick}]
  \node (a1) {$0$};
    \node (a2) [right of=a1] {$S$};
  \node (a3) [right of=a2] {$M$};
   \node (a4) [right of=a3] {${M\over s}$};
   \node (a5) [right of=a4] {$0$};
  \node (b1) [below of=a1]{$0$};
  \node (b2) [right of=b1] {$S^{UV}$};
   \node (b3) [right of=b2] {$M^{UV}$};
   \node (b4) [right of=b3] {${M\over s}^{UV}$};
  \node (b5) [right of=b4] {$0$};
  \draw[->] (a1) -- (a2);
    \draw[->] (a2) to node  {$inc$} (a3);
    \draw[->] (a3) to node  {$\pi$} (a4);
    \draw[->] (a4) --  (a5);
    \draw[->] (b1) -- (b2);
   \draw[->] (b2) -- (b3);
   \draw[->] (b3) -- (b4);
   \draw[->] (b4) -- (b5);
  \draw[->] (a2) to node  {$\alpha$} (b2);
 \path (a2) to node [swap] {$\cong$} (b2);
 \draw[->] (a3) -- (b3);
   \draw[->] (a4) to node  {$\theta$} (b4);
 \path (a4) to node [swap] {$\cong$} (b4);
\draw [<-,shift={(3,-1)},x=.4cm,y=.4cm] plot[domain=-4.53:1.39,variable=\t]({1*1.16*cos(\t r)+0*1.16*sin(\t r)},{0*1.16*cos(\t r)+1*1.16*sin(\t r)});
\draw [<-,shift={(5,-1)},x=.4cm,y=.4cm] plot[domain=-4.53:1.39,variable=\t]({1*1.16*cos(\t r)+0*1.16*sin(\t r)},{0*1.16*cos(\t r)+1*1.16*sin(\t r)});
\end{tikzpicture}

\end{document}