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math.AC2025
The Weak Lefschetz Property for Tensor Products of Artinian Monomial Algebras and Its Applications to Lollipop Graphs
Tran Quang Hoa, Nguyen Duy Phuoc, Tran Nguyen Thanh Son
In this paper, we investigate the weak Lefschetz property for tensor products of Artinian monomial algebras and complete quadratic monomial algebras. As an application, we classify…
math.AC2024
Asymptotic depth of invariant chains of edge ideals
Tran Quang Hoa, Do Trong Hoang, Dinh Van Le +2
We completely determine the asymptotic depth, equivalently, the asymptotic projective dimension of a chain of edge ideals that is invariant under the action of the monoid Inc of in…
math.AC2024
Regularity of normal Rees algebras of edge ideals of graphs
Cao Huy Linh, Quang Hoa Tran, Thanh Vu
We classify all graphs for which the Rees algebras of their edge ideals are normal and have regularity equal to their matching numbers.