Abstract
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Given a monoidal triangulated category
with
Noetherian spectrum, we show that there is an order-preserving bijection between
the collection of all Thomason subsets of the noncommutative spectrum of
and the collection of all thick two-sided semiprime ideals of
and
that it is universal among all such spaces classifying the ideals in question.
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Keywords
noncommutative tensor triangular geometry, monoidal
triangulated categories, Noetherian spectra
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Mathematical Subject Classification
Primary: 18G80, 18M05
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Milestones
Received: 18 September 2023
Revised: 6 June 2024
Accepted: 18 July 2024
Published: 13 September 2024
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| © 2024 The Author(s), under
exclusive license to MSP (Mathematical Sciences Publishers).
Distributed under the Creative Commons
Attribution License 4.0 (CC BY). |
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