@MISC{Grime708thecorrect, author = {M. Grime}, title = {The correct relatively stable category for idempotent modules ∗}, year = {708} }
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Abstract
We answer a question posed in [4], and demonstrate that in general Rickard modules in relatively stable categories are not idempotent modules even if one localizes with respect to a tensor ideal subcategory. We also show that there is a modification one can make so as to recover the idempotent behaviour. 1