Dũng Đức Trần

collaborators

3 papers

math.AC2026

Admissible subgraphs and the depth of symbolic powers of cover ideals of graphs

Tran Duc Dung, Nguyen Thu Hang, Thanh Vu

Let $G$ be a simple graph. We introduce the notion of $t$ -admissible subgraphs of $G$ and show how to use them to compute the depth of the $t$ -th symbolic powers of the cover ideal…

math.AC2026

The depth function of powers of cover ideals of path graphs

Tran Duc Dung, Nguyen Thu Hang, Pham Hong Nam +1

Let $G = P_{n}$ be a path graph with cover ideal $J (P_{n})$ . By using Hochster's depth formula, we prove the explicit formulae to compute the depth functions of powers of cover ideals of…

math.AC2020

Reducibility index and sum-reducibility index

Tran Nguyen An, Tran Duc Dung, Shinya Kumashiro +1

Let $R$ be a Noetherian ring. For a finitely generated $R$ -module $M$ , Northcott introduced the reducibility index of $M$ , which is the number of submodules appearing in an irredun…