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Formal local homology. (English) Zbl 1458.13018

Authors’ abstract: We introduce a concept of formal local homology modules which is in some sense dual to P. Schenzel’s concept of formal local cohomology modules. The duality theorem and the non-vanishing theorem for formal local homology modules are shown. We also give some conditions for formal local homology modules to be finitely generated or artinian.

MSC:

13D45 Local cohomology and commutative rings
13J99 Topological rings and modules
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References:

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