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Abstract: We introduce a local homology theory for linearly compact modules which is insome sense dual to the local cohomology theory of A. Grothendieck. Some basicproperties such as the noetherianness, the vanishing and non-vanishing of localhomology modules of linearly compact modules are proved. A duality theorybetween local homology and local cohomology modules of linearly compact modulesis developed by using Matlis duality and Macdonald duality. As consequences ofthe duality theorem we obtain some generalizations of well-known results in thetheory of local cohomology for semi-discrete linearly compact modules.



Author: Nguyen Tu Cuong, Tran Tuan Nam

Source: https://arxiv.org/







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