Colocalization of local homology modules
Bull. Korean Math. Soc.
Published online October 24, 2019
Shahram Rezaei
Payame Noor University,Faculty of Science
Abstract : Let I be an ideal of Noetherian local ring (R;m) andM an artinian R-module. In this
paper, we study colocalization of local homology modules. In fact we give Colocal-global Principle
for the artinianness and minimaxness of local homology modules, which is a dual case of Localglobal
Principle for the niteness of local cohomology modules.
Keywords : local homology, colocalization
MSC numbers : 13D45, 13E99
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