JP Journal of Algebra, Number Theory and Applications
Volume 38, Issue 1, Pages 1 - 18
(February 2016) http://dx.doi.org/10.17654/NT038010001 |
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INVERSE LIMIT OF LOCAL HOMOLOGY
V. H. Jorge Pérez and C. H. Tognon
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Abstract: Let M be a module over a commutative ring R with non-zero identity. In this paper, for a pair of ideals of R, we introduce the inverse limit of local homology as follows: for all Also, we study some of its properties and analyze their structure, the vanishing, non-vanishing and Artinianness of Moreover, there are some exact sequences concerning the inverse limit of local homology, among them a variant of Mayer-Vietoris sequence. |
Keywords and phrases: inverse limit; local homology; local cohomology; vanishing of inverse limit of local homology, linearly compact module. |
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