Graded filtrations and ideals of reduction number 2
Corresponding Author
Shinya Kumashiro
Department of General Education, National Institute of Technology (KOSEN), Oyama College, Nakakuki, Oyama, Tochigi, Japan
Correspondence
Shinya Kumashiro, Department of General Education, National Institute of Technology (KOSEN), Oyama College, 771 Nakakuki, Oyama, 323-0806, Tochigi, Japan.
Email: [email protected]
Search for more papers by this authorCorresponding Author
Shinya Kumashiro
Department of General Education, National Institute of Technology (KOSEN), Oyama College, Nakakuki, Oyama, Tochigi, Japan
Correspondence
Shinya Kumashiro, Department of General Education, National Institute of Technology (KOSEN), Oyama College, 771 Nakakuki, Oyama, 323-0806, Tochigi, Japan.
Email: [email protected]
Search for more papers by this authorAbstract
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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