ON THE k-REGULAR SEQUENCES AND THE GENERALIZATION OF F-MODULES
For a given ideal I of a Noetherian ring R and an arbitrary integer k ≥ -1, we apply the concept of k-regular sequences and the notion of k-depth to give some results on modules called k-Cohen Macaulay modules, which in local case, is exactly the k-modules (as a generalization of f-modules). Meanwhi...
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Published in | Journal of the Korean Mathematical Society pp. 1083 - 1096 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
대한수학회
01.09.2012
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Subjects | |
Online Access | Get full text |
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Summary: | For a given ideal I of a Noetherian ring R and an arbitrary integer k ≥ -1, we apply the concept of k-regular sequences and the notion of k-depth to give some results on modules called k-Cohen Macaulay modules, which in local case, is exactly the k-modules (as a generalization of f-modules). Meanwhile, we give an expression of local cohomology with respect to any k-regular sequence in I, in a particular case. We prove that the dimension of homology modules of the Koszul complex with respect to any k-regular sequence is at most k. Therefore homology modules of the Koszul complex with respect to any lter regular sequence has nite length. KCI Citation Count: 0 |
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Bibliography: | G704-000208.2012.49.5.005 |
ISSN: | 0304-9914 2234-3008 |
DOI: | 10.4134/JKMS.2012.49.5.1083 |