JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 5, Pages 799 - 808
(October 2018) http://dx.doi.org/10.17654/NT040050799 |
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DUAL OF FALTINGS’ THEOREMS ON FINITENESS OF LOCAL COHOMOLOGY
Marziyeh Hatamkhani
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Abstract: Let R be a commutative Noetherian ring and be an ideal of R. We intend to establish the dual of two Faltings’ Theorems for local homology modules of an Artinian module. As a consequence of this, we show that, if A is an Artinian module over a complete semi-local ring R and j is an integer such that is Artinian for all then the set is finite. |
Keywords and phrases: Artinianness dimension, finiteness dimension, local cohomology modules, local homology modules, Matlis duality.
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