A generalized local cohomology theory
DOI:
https://doi.org/10.15381/pesquimat.v24i2.21674Keywords:
system of ideals, torsion, local cohomology, Cech complex, local homology, Matlis reflexive moduleAbstract
In this work we introduce certain local cohomology functors that generalize those studied in [9]. It is show that their local cohomology modules can be computed as the cohomology modules of a generalized Cech complex. Also we propose a notion of local homology. In this context we prove that the local homology of a Matlis reflexive module (in the sense of [2]) can be expressed as the inverse limit of certain Tor modules.
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Copyright (c) 2021 Napoleón Caro Tuesta, Sofía Irena Durán Quiñones, Wilfredo Mendoza Quispe
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