Deconstructible abstract elementary classes of modules and categoricity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10488097" target="_blank" >RIV/00216208:11320/24:10488097 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=KBbPCdK8zD" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=KBbPCdK8zD</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/blms.13172" target="_blank" >10.1112/blms.13172</a>

Result language
angličtina
Original language name
Deconstructible abstract elementary classes of modules and categoricity
Original language description
We prove a version of Shelah's categoricity conjecture for arbitrary deconstructible classes of modules. Moreover, we show that if A is a deconstructible class of modules that fits in an abstract elementary class (A, <= such that (1) A is closed under direct summands and (2) <= refines direct summands, then A is closed under arbitrary direct limits. In the Appendix, we prove that the assumption (2) is not needed in some models of ZFC.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA23-05148S" target="_blank" >GA23-05148S: Homological and structural theory in geometric contexts</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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