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Abstract
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We prove nilpotence theorems in tensor-triangulated categories using suitable Gabriel
quotients of the module category, and discuss examples.
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Keywords
Homological residue field, tensor-triangular geometry,
module category, nilpotence
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Mathematical Subject Classification 2010
Primary: 18E30
Secondary: 20J05, 55U35
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Milestones
Received: 1 October 2018
Revised: 22 January 2019
Accepted: 14 March 2019
Published: 2 August 2019
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