Trung Nam Tran

activity

20122023

most citedDepth and regularity of powers of sums of ideals

52 citations · 186 across the 10 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.AC2019★ 14 cited

Depth functions of powers of homogeneous ideals

Huy Tai Ha, Hop Dang Nguyen, Ngo Viet Trung +1

We settle a conjecture of Herzog and Hibi, which states that the function depth $S / Q^{n}$ , $n \geq 1$ , where $Q$ is a homogeneous ideal in a polynomial ring $S$ , can be any convergent…

math.AC2019★ 15 cited

Regularity and Koszul property of symbolic powers of monomial ideals

Le Xuan Dung, Truong Thi Hien, Hop D. Nguyen +1

Let $I$ be a homogeneous ideal in a polynomial ring over a field. Let $I^{(n)}$ be the $n$ -th symbolic power of $I$ . Motivated by results about ordinary powers of $I$ , we study the…