Abstract
We prove nilpotence theorems in tensor-triangulated categories using suitable Gabriel quotients of the module category, and discuss examples.
Citation
Paul Balmer. "Nilpotence theorems via homological residue fields." Tunisian J. Math. 2 (2) 359 - 378, 2020. https://doi.org/10.2140/tunis.2020.2.359
Information
Received: 1 October 2018; Revised: 22 January 2019; Accepted: 14 March 2019; Published: 2020
First available in Project Euclid: 13 August 2019
zbMATH: 07119008
MathSciNet: MR3990823
Digital Object Identifier: 10.2140/tunis.2020.2.359
Subjects:
Primary:
18E30
Secondary:
20J05
,
55U35
Keywords:
Homological residue field
,
module category
,
nilpotence
,
tensor-triangular geometry
Rights: Copyright © 2020 Mathematical Sciences Publishers
