Exercise 111.11.4. Give an example of a ring $R$ and ideal $I$ such that $\mathop{\mathrm{Ext}}\nolimits ^1_ R(R/I, R/I)$ is not a finite $R$-module. (We know this cannot happen if $R$ is Noetherian by Algebra, Lemma 10.71.9.)
Exercise 111.11.4. Give an example of a ring $R$ and ideal $I$ such that $\mathop{\mathrm{Ext}}\nolimits ^1_ R(R/I, R/I)$ is not a finite $R$-module. (We know this cannot happen if $R$ is Noetherian by Algebra, Lemma 10.71.9.)
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