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Telescope conjecture for homotopically smashing t-structures over commutative noetherian rings
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SYSNO ASEP 0532702 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Telescope conjecture for homotopically smashing t-structures over commutative noetherian rings Author(s) Hrbek, Michal (MU-W) SAI, ORCID, RID
Nakamura, T. (JP)Article number 106571 Source Title Journal of Pure and Applied Algebra. - : Elsevier - ISSN 0022-4049
Roč. 225, č. 4 (2021)Number of pages 13 s. Language eng - English Country NL - Netherlands Keywords cosilting object ; derivator ; derived category ; smashingt-structure ; telescope conjecture Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA20-13778S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000580023100023 EID SCOPUS 85091106124 DOI https://doi.org/10.1016/j.jpaa.2020.106571 Annotation We show that any homotopically smashing t-structure in the derived category of a commutative noetherian ring is compactly generated. This generalizes the validity of the telescope conjecture for commutative noetherian rings due to Neeman. As another consequence, we obtain a cofinite type result for pure-injective cosilting objects. We also give a formulation of telescope conjecture for homotopically smashing t-structures in underlying triangulated categories of certain Grothendieck derivators. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022 Electronic address https://doi.org/10.1016/j.jpaa.2020.106571
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