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arXiv · 0708.3741

The correct relatively stable category for idempotent modules

Matthew Grime
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Abstract

We answer a question posed by Carlson, Peng, and Wheeler, 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.

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Matthew Grime. 2007-11-06. The correct relatively stable category for idempotent modules. https://arxiv.org/abs/0708.3741

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