1 citations · 1 across the 7 of their papers we have counts for
7 papers
Frobenius numbers and the first Hilbert coefficients of certain numerical semigroup rings
Do Van Kien, Pham Hung Quy
Let be positive integers. In this note, we study the numerical semigroup and and the associated numerical semigroup ring . Under the certai…
The vertex covers, Betti numbers and projective dimensions of perfect binary trees
Nguyen Thu Hang, Tran Duc Dung, Do Van Kien
Let be a perfect binary tree and be its edge ideal in the polynomial ring . We determine the vertex cover number, independent number, and establish the recursive formula…
Koszul property and finite linearity defect over -stretched local rings
Do Van Kien, Hop D. Nguyen
The linearity defect is a measure for the non-linearity of minimal free resolutions of modules over noetherian local rings. A tantalizing open question due to Herzog and Iyengar as…
Pseudo-Frobenius numbers and defining ideals in stretched numerical semigroup rings
Do Van Kien, Naoyuki Matsuoka, Taiga Ozaki
The pseudo-Frobenius numbers of a numerical semigroup are deeply connected to the structure of the defining ideal of its semigroup ring . In this paper, we resolve a cert…
A sharp bound for the resurgence of sums of ideals
Do Van Kien, Hop Dang Nguyen, Le Minh Thuan
We prove a sharp upper bound for the resurgence of sums of ideals involving disjoint sets of variables, strengthening work of Bisui--Hà--Jayanthan--Thomas. Complete solutions are d…
Canonical stretched rings
Nguyen Thi Anh Hang, Do Van Kien, Hoang Le Truong
In this paper, we introduce the concept of canonical stretched rings, sparse stretched rings and maximum sparse ideals. Then we give characterizations of canonical stretched rings…
Pseudo-Frobenius numbers versus defining ideals in numerical semigroup rings
Shiro Goto, Do Van Kien, Naoyuki Matsuoka +1
The structure of the defining ideal of the semigroup ring of a numerical semigroup over a field is described, when the pseudo-Frobenius numbers of are multiples…