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The f-depth of an ideal on a module |
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| Authors: | Rencai Lü Zhongming Tang |
| Institution: | Department of mathematics, Suzhou University, Suzhou 215006, People's Republic of China Zhongming Tang ; Department of mathematics, Suzhou University, Suzhou 215006, People's Republic of China |
| Abstract: | Let  be an ideal of a Noetherian local ring  and  a finitely generated  -module. The f-depth of  on  is the least integer  such that the local cohomology module  is not Artinian. This paper presents some part of the theory of f-depth including characterizations of f-depth and a relation between f-depth and f-modules. |
| Keywords: | f-depth f-modules local cohomology modules |
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