Compactly generated t-structures in the derived category of a commutative ring

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00524450" target="_blank" >RIV/67985840:_____/20:00524450 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00209-019-02349-y" target="_blank" >https://doi.org/10.1007/s00209-019-02349-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00209-019-02349-y" target="_blank" >10.1007/s00209-019-02349-y</a>

Result language
angličtina
Original language name
Compactly generated t-structures in the derived category of a commutative ring
Original language description
We classify all compactly generated t-structures in the unbounded derived category of an arbitrary commutative ring, generalizing the result of Alonso Tarrío et al. (J Algebra 324(3):313–346, 2010) for noetherian rings. More specifically, we establish a bijective correspondence between the compactly generated t-structures and infinite filtrations of the Zariski spectrum by Thomason subsets. Moreover, we show that in the case of a commutative noetherian ring, any bounded below homotopically smashing t-structure is compactly generated. As a consequence, all cosilting complexes are classified up to equivalence.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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