Abstract
Killing of supports along subsets U of a group G and regradings along certain maps of groups φ : G ′ → G are studied, in the context of group-graded algebras. We show that, under precise conditions on U and φ, the module theories over the initial and the final algebras are functorially well-connected. Special attention is paid to G = Z , in which case the results can be applied to n-Koszul algebras.
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