Copied In the category of \(\mathbb {Z}\)-modules: Is \(\mathbb {Z}\) injective? Is \(\mathbb {Z}/8\mathbb {Z}\) projective? Raw LaTeX In the category of \(\mathbb{Z}\)-modules: \begin{enumerate} \item Is \(\mathbb{Z}\) injective? \item Is \(\mathbb{Z}/8\mathbb{Z}\) projective? \end{enumerate} Topic Tags Chinese Remainder Theorem and Product Decompositions Projective Modules Tor Functors and Projective Resolutions