Weak diamond, weak projectivity, and transfinite extensions of simple artinian rings *
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10452386" target="_blank" >RIV/00216208:11320/22:10452386 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=jlKDm6AStp" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=jlKDm6AStp</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jalgebra.2022.03.009" target="_blank" >10.1016/j.jalgebra.2022.03.009</a>
Alternative languages
Result language
angličtina
Original language name
Weak diamond, weak projectivity, and transfinite extensions of simple artinian rings *
Original language description
We apply set-theoretic methods to study projective modules and their generalizations over transfinite extensions of simple artinian rings R. We prove that if R is small, then the Weak Diamond implies that projectivity of an arbitrary module can be tested at the layer epimorphisms of R.(c) 2022 Elsevier Inc. All rights reserved.
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/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
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Algebra
ISSN
0021-8693
e-ISSN
1090-266X
Volume of the periodical
2022
Issue of the periodical within the volume
601
Country of publishing house
US - UNITED STATES
Number of pages
14
Pages from-to
87-100
UT code for WoS article
000794036700004
EID of the result in the Scopus database
2-s2.0-85126686880