Strong generators in tensor triangulated categories

Published 2 Sep 2014 in math.CT and math.AC | (1409.0645v1)

Abstract: We show that in an essentially small rigid tensor triangulated category with connected Balmer spectrum there are no proper non-zero thick tensor ideals admitting strong generators. This proves, for instance, that the category of perfect complexes over a commutative ring without non-trivial idempotents has no proper non-zero thick subcategories that are strongly generated.

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