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arXiv 2008-08-15 0 views

Tangent Cone of Numerical Semigroup Rings of Embedding Dimension Three

Shen, Yi-Huang

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In this paper, we give new characterizations of the Buchsbaum and Cohen-Macaulay properties of the tangent cone (R), where (R,) is a numerical semigroup ring of embedding dimension 3. In particular, we confirm the conjectures raised by Sapko on the Buchsbaumness of (R).

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