A local homology theory for linearly compact modules

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dc.creatorCuong, Nguyen Tu
dc.creatorNam, Tran Tuan
dc.date2007-09-12
dc.date.accessioned2026-07-07T08:29:02Z
dc.date.available2026-07-07T08:29:02Z
dc.descriptionWe introduce a local homology theory for linearly compact modules which is in some sense dual to the local cohomology theory of A. Grothendieck. Some basic properties such as the noetherianness, the vanishing and non-vanishing of local homology modules of linearly compact modules are proved. A duality theory between local homology and local cohomology modules of linearly compact modules is developed by using Matlis duality and Macdonald duality. As consequences of the duality theorem we obtain some generalizations of well-known results in the theory of local cohomology for semi-discrete linearly compact modules.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/0709.1778
dc.identifierhttp://arxiv.org/abs/0709.1778
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137826
dc.subjectCommutative Algebra
dc.subjectRings and Algebras
dc.subject13D07; 13D45; 16E30
dc.titleA local homology theory for linearly compact modules
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