Parametrizing torsion pairs in derived categories

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00544254" target="_blank" >RIV/67985840:_____/21:00544254 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1090/ert/579" target="_blank" >https://doi.org/10.1090/ert/579</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/ert/579" target="_blank" >10.1090/ert/579</a>

Result language
angličtina
Original language name
Parametrizing torsion pairs in derived categories
Original language description
We investigate parametrizations of compactly generated t-structures, or more generally, t-structures with a definable coaisle, in the unbounded derived category D(Mod-A) of a ring A. To this end, we provide a construction of t-structures from chains in the lattice of ring epimorphisms starting in A, which is a natural extension of the construction of compactly generated t-structures from chains of subsets of the Zariski spectrum known for the commutative noetherian case. We also provide constructions of silting and cosilting objects in D(Mod-A). This leads us to classification results over some classes of commutative rings and over finite dimensional hereditary algebras.
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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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