LIFTING (CO)STRATIFICATIONS BETWEEN TENSOR TRIANGULATED CATEGORIES
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10487990" target="_blank" >RIV/00216208:11320/24:10487990 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=fdLqQwmLQs" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=fdLqQwmLQs</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11856-023-2578-5" target="_blank" >10.1007/s11856-023-2578-5</a>
Alternative languages
Result language
angličtina
Original language name
LIFTING (CO)STRATIFICATIONS BETWEEN TENSOR TRIANGULATED CATEGORIES
Original language description
We give necessary and sufficient conditions for stratification and costratification to descend along a coproduct preserving, tensor-exact R-linear functor between R-linear tensor-triangulated categories which are rigidlycompactly generated by their tensor units. We then apply these results tonon-positive commutative DG-rings and connective ring spectra. In particular, this gives a support-theoretic classification of (co)localizing subcategories, and thick subcategories of compact objects of the derived category of a non-positive commutative DG-ring with finite amplitude, and providesa formal justification for the principle that the space associated to an eventually coconnective derived scheme is its underlying classical scheme. For a non-positive commutative DG-ring A, we also investigate whether certain finiteness conditions in D(A) (for example, proxy-smallness) can bereduced to questions in the better understood category D(H0A).
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GJ20-02760Y" target="_blank" >GJ20-02760Y: Cohen-Macaulay rings and their applications in higher algebra and topology</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Israel Journal of Mathematics
ISSN
0021-2172
e-ISSN
1565-8511
Volume of the periodical
261
Issue of the periodical within the volume
červen 2024
Country of publishing house
IL - THE STATE OF ISRAEL
Number of pages
32
Pages from-to
249-280
UT code for WoS article
001126563600001
EID of the result in the Scopus database
2-s2.0-85179359309