Graded filtrations and ideals of reduction number 2 |
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| Authors: | Shinya Kumashiro |
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| Institution: | Department of General Education, National Institute of Technology (KOSEN), Oyama College, Nakakuki, Oyama, Tochigi, Japan |
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| Abstract: | In this paper, we give a way to construct graded filtrations of graded modules. We then apply it to the Sally module, which describes a correction term of the Hilbert function. As a result, we obtain the inequality of the Hilbert coefficients for ideals of reduction number 2 or 3. |
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| Keywords: | graded filtration Hilbert function reduction number Sally module |
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