Strong generators in tensor triangulated categories

Steen, J. and Stevenson, G. (2015) Strong generators in tensor triangulated categories. Bulletin of the London Mathematical Society, 47(4), pp. 607-616. (doi: 10.1112/blms/bdv037)

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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. The main theorem is also applied to the finite stable homotopy category, and we show that there are no strongly generated thick subcategories except the trivial one

Item Type:Articles
Glasgow Author(s) Enlighten ID:Stevenson, Dr Gregory
Authors: Steen, J., and Stevenson, G.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Bulletin of the London Mathematical Society
ISSN (Online):1469-2120

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