Let denote an ideal of a local ring . For a system of elements such that , and we investigate a subcomplex and a factor complex of the Čech complex for a finitely generated -module . We start with the inspection of these cohomology modules that approximate in a certain sense the local cohomology modules for all . In the case of an -primary ideal we prove the Artinianness of these cohomology modules and characterize the last nonvanishing among them.
"About a variation of local cohomology." J. Commut. Algebra 12 (3) 353 - 370, Fall 2020. https://doi.org/10.1216/jca.2020.12.353