0532702 - MÚ 2022 RIV NL eng J - Journal Article
Hrbek, Michal - Nakamura, T.
Telescope conjecture for homotopically smashing t-structures over commutative noetherian rings.
Journal of Pure and Applied Algebra. Roč. 225, č. 4 (2021), č. článku 106571. ISSN 0022-4049. E-ISSN 1873-1376
R&D Projects: GA ČR(CZ) GA20-13778S
Institutional support: RVO:67985840
Keywords : cosilting object * derivator * derived category * smashingt-structure * telescope conjecture
OECD category: Pure mathematics
Impact factor: 0.834, year: 2021 ; AIS: 0.785, rok: 2021
Method of publishing: Limited access
Result website:
https://doi.org/10.1016/j.jpaa.2020.106571DOI: https://doi.org/10.1016/j.jpaa.2020.106571

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.
Permanent Link: http://hdl.handle.net/11104/0311117