Nilpotence theorems via homological residue fields
Paul Balmer
TL;DR
This paper introduces a novel approach to proving nilpotence theorems in tensor-triangulated categories by employing Gabriel quotients of module categories, with illustrative examples.
Contribution
It presents a new method leveraging homological residue fields and Gabriel quotients to establish nilpotence results in tensor-triangulated categories.
Findings
Established nilpotence theorems using Gabriel quotients
Provided examples illustrating the method
Enhanced understanding of homological residue fields
Abstract
We prove nilpotence theorems in tensor-triangulated categories using suitable Gabriel quotients of the module category, and discuss examples.
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