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Let $A=K[x]/(x^n)$ and $M_1$ and $M_2$ two basic generator of mod-A and let $B_i=End_A(M_i)$. $B_1$ and $B_2$ are derived equivalent in case $M_1 \cong \Omega^1(M_2)$ in the stable category.

Question: Can $B_1$ and $B_2$ be derived equivalent in case their non-projective parts are not in the same $\Omega$-orbit?

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