CATEGORICAL PROPERTIES OF REDUCTION FUNCTORS OVER NON-POSITIVE DG-RINGS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10488008" target="_blank" >RIV/00216208:11320/24:10488008 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=YYHT.uvJ0k" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=YYHT.uvJ0k</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/proc/16517" target="_blank" >10.1090/proc/16517</a>

Result language
angličtina
Original language name
CATEGORICAL PROPERTIES OF REDUCTION FUNCTORS OVER NON-POSITIVE DG-RINGS
Original language description
Given a non-positive DG-ring A, associated to it are the reduction and coreduction functors F(-) = H0(A)circle times LA- and G(-) = R HomA(H0(A), -), considered as functors D(A)-+ D(H0(A)), as well as the forgetful functor S : D(H0(A))-+ D(A). In this paper we carry a systematic study of the categorical properties of these functors. As an application, a new descent result for vanishing of Ext and Tor over ordinary commutative noetherian rings is deduced.
Czech name
—
Czech description
—

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/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)

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

Similar results(10)