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\begin{document}
\begin{center}
    \textsc{Math 4140/5140. Homework 5}\\
    Due Wednesday, February 23

\end{center}

\vspace{1em}

\noindent \textbf{Note:} All numbered exercises are from Erdmann--Holm ([EH]).\\


\begin{enumerate}
    \item Read Chapter 2 of [EH] again (you can ignore \S 2.5.2 for now). Make sure you understand all
        the examples and can state all the theorems on your own. 
%    \item Prove that if $G$ is the cyclic group $G=\ip{g:g^n=e}$ of order $n$ for a positive integer $n$, then
        %$kG\cong k[t]/\ip{t^n-1}$ as $k$-algebras.
    \item Parts (i), (ii) and (iii) of Exercise 2.12. 
    \item Exercise 2.15.
    \item Exercise 2.21. For Part (c), you can ignore the first part (expressing the modules as
        representations of the quiver $Q$). In other words, just answer the question about whether the modules are
        isomorphic and justify your answer.
    \item Exercise 2.22.
\end{enumerate}
\end{document}


