Extension dimension of the i-th syzygy module category is invariant under derived equivalence for large i and under stable/separable equivalence for all nonnegative i.
Linckelmann , Finite generation of Hochschild cohomology of Hecke algebras of fin ite classical typein characteristic zero
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The Extension dimension of syzygy module categories
Extension dimension of the i-th syzygy module category is invariant under derived equivalence for large i and under stable/separable equivalence for all nonnegative i.