Artin algebras connected by recollements or singular equivalences of Morita type with level l satisfy explicit inequalities on their extension dimensions, with Omega-extension dimension invariant in the singular case.
Brou ´ e, Equivalences of blocks of group algebras
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Extension dimensions under singular equivalences and recollements
Artin algebras connected by recollements or singular equivalences of Morita type with level l satisfy explicit inequalities on their extension dimensions, with Omega-extension dimension invariant in the singular case.