%0 Journal Article %T Two interesting examples of $\mathcal{D}$-modules in characteristic $p>0$ %A Mordechai Katzman %A Gennady Lyubeznik %A Wenliang Zhang %J Mathematics %D 2010 %I arXiv %R 10.1112/blms/bds035 %X We provide two examples of $\mathcal{D}$-modules in prime characteristic $p$ which answer two open problems in \cite{Lyubeznik} in the negative. %U http://arxiv.org/abs/1010.2525v1