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arxiv: 0808.2162 · v2 · pith:M5QGJCAYnew · submitted 2008-08-15 · 🧮 math.AC

Tangent Cone of Numerical Semigroup Rings of Embedding Dimension Three

classification 🧮 math.AC
keywords frakmconedimensionembeddingnumericalsemigrouptangentbuchsbaum
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In this paper, we give new characterizations of the Buchsbaum and Cohen-Macaulay properties of the tangent cone $\gr_\frakm(R)$, where $(R,\frakm)$ is a numerical semigroup ring of embedding dimension 3. In particular, we confirm the conjectures raised by Sapko on the Buchsbaumness of $\gr_\frakm(R)$.

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