An Nguyen Tran

activity

20202023

collaborators

4 papers

math.AC2023

Irreducible multiplicity of idealizations

Tran Nguyen An

Let $(R, m)$ be a Noetherian local ring and $M$ a finitely generated $R$ -module. We study the relations of the index of reducibility and the irreducible multiplicity of a…

math.AC2023

On depth of modules in an ideal

Tran Nguyen An

Let $R$ be a commutative Noetherian ring, $I$ an ideal of $R$ and $M$ a finitely generated $R$ -module with $dim_{R} (M) = d$ . Denote by $\depth_R(I,M)$ the depth of $M$ in $I$ . In \cit…

math.AC2021

The irreducible multiplicity and Ulrich modules

Tran Nguyen An, Shinya Kumashiro

In this paper, we give a relation between the Hilbert multiplicity and the irreducible multiplicity. As an application, we characterize Ulrich modules in term of the irreducible mu…

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…