Turkish Journal of Mathematics
Article Title
DOI
10.3906/mat-1708-16
Abstract
Let $n_1, n_2,\ldots, n_d$ be positive integers and $H $ be the numerical semigroup generated by $n_1,n_2, \ldots, n_d$. Let $A:=k[H]:=k[t^{n_1}, t^{n_2},\ldots, t^{n_d}]\cong k[x_1,x_2,\ldots,x_d]/I$ be the numerical semigroup ring of $H $ over $k.$ In this paper we give a condition $(*)$ that implies that the minimal number of generators of the defining ideal $I$ is bounded explicitly by its type. As a consequence for semigroups with $d=4$ satisfying the condition $(*)$ we have $\mu ({\rm in}(I))\leq 2(t(H))+1$.
First Page
2112
Last Page
2124
Recommended Citation
DUNG, NGUYEN THI
(2018)
"On the type and generators of monomial curves,"
Turkish Journal of Mathematics: Vol. 42:
No.
5, Article 4.
https://doi.org/10.3906/mat-1708-16
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss5/4
