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Fixed tex typo
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David White
David White
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Since $W$ has finite projective dimension, it is isomorphic in the derived category to a bounded complex of projective $A$-modules. Thus it belongs to $A$-perf = \langle A \rangle_{min + 1}$$\langle A \rangle_{min + 1}$. That contradicts Lemma 7.13 as you stated in (b).

Since $W$ has finite projective dimension, it is isomorphic in the derived category to a bounded complex of projective $A$-modules. Thus it belongs to $A$-perf = \langle A \rangle_{min + 1}$. That contradicts Lemma 7.13 as you stated in (b).

Since $W$ has finite projective dimension, it is isomorphic in the derived category to a bounded complex of projective $A$-modules. Thus it belongs to $A$-perf = $\langle A \rangle_{min + 1}$. That contradicts Lemma 7.13 as you stated in (b).

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Alex Dugas
Alex Dugas
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Since $W$ has finite projective dimension, it is isomorphic in the derived category to a bounded complex of projective $A$-modules. Thus it belongs to $A$-perf = \langle A \rangle_{min + 1}$. That contradicts Lemma 7.13 as you stated in (b).