Categoricity for transfinite extensions of modules
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10472802" target="_blank" >RIV/00216208:11320/23:10472802 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=38qHlT8kIe" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=38qHlT8kIe</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/bproc/194" target="_blank" >10.1090/bproc/194</a>
Alternative languages
Result language
angličtina
Original language name
Categoricity for transfinite extensions of modules
Original language description
For each deconstructible class of modules D, we prove that the categoricity of D in a big cardinal is equivalent to its categoricity in a tail of cardinals. We also prove Shelah's Categoricity Conjecture for (D, ), where (D, ) is any abstract elementary class of roots of Ext.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA20-13778S" target="_blank" >GA20-13778S: Symmetries, dualities and approximations in derived algebraic geometry and representation theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings of the American Mathematical Society. Series B
ISSN
2330-1511
e-ISSN
2330-1511
Volume of the periodical
10
Issue of the periodical within the volume
October
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
369-381
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85176581846