About the theory of local homology and local cohomology modules

Carlos Henrique Tognon

Abstract


We introduce local homology for the edge ideal of a graph, and study some properties of local homology modules for Artinian modules, such as the artinianness, and the characterization of Width by local homology. Moreover, we put results which involve the theory of local cohomology modules together with the edge ideal of a graph simple and finite, with no isolated vertices.


Keywords


Artinian module, local homology, local cohomology, edge ideal of a graph

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DOI: http://dx.doi.org/10.12958/adm2169

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