Socle finiteness of the local cohomology
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10105390" target="_blank" >RIV/00216208:11320/11:10105390 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1216/RMJ-2011-41-1-299" target="_blank" >http://dx.doi.org/10.1216/RMJ-2011-41-1-299</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1216/RMJ-2011-41-1-299" target="_blank" >10.1216/RMJ-2011-41-1-299</a>
Alternative languages
Result language
angličtina
Original language name
Socle finiteness of the local cohomology
Original language description
Let R be a Gorenstein local ring and I be an ideal of R. Denote by H(I,R) the assertion: ''The socle of the local cohomology module H_I^n(R) is finitely generated for each n''. We translate H(I,R) into a property of the minimal injective coresolution ofR, and then use this translation to prove H(I,R) for all regular local rings R and all ideals I with level prime avoidance.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
<a href="/en/project/GA201%2F06%2F0510" target="_blank" >GA201/06/0510: Representations of associative rings and lattices</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Rocky Mountain Journal of Mathematics
ISSN
0035-7596
e-ISSN
—
Volume of the periodical
41
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
299-309
UT code for WoS article
000289016600017
EID of the result in the Scopus database
—