2008/08/15 by Shen, Yi-Huang
#13A30 (Primary) #13H10 (Secondary) #13P10 #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.0808.2162
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).