Tight Closure of Certain Submodules of the Top Local Cohomology
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概要
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Let (R,m) be a d-dimensional Cohen-Macaulay localring of prime characteristic. Then the top local cohomology moduleH^d_m(R) carries important information of R. So we will study thetight closure of submodules of H^d_m(R). It is shown that R is weaklyF-regular if every finitely generated submodule of H^d_m(R) is tightlyclosed in H^d_m(R). The colon capturing properties of tight closure ofcertain submodules of H^d_m(R) are also obtained.
- Dept. of Mathematics, Faculty of Science, University of Toyamaの論文
- 2012-00-00
Dept. of Mathematics, Faculty of Science, University of Toyama | 論文
- Tight Closure of Certain Submodules of the Top Local Cohomology
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