60 citations · 291 across the 64 of their papers we have counts for
4 papers · 2 filters
On the Lefschetz Property for quotients by monomial ideals containing squares of variables
Hailong Dao, Ritika Nair
Let be an (abstract) simplicial complex on vertices. One can define the Artinian monomial algebra $A(Δ) = \Bbbk[x_1, \ldots, x_n]/ \langle x_1^2, \ldots, x_n^2, I_Δ \rangle…
Stable trace ideals and applications
Hailong Dao, Haydee Lindo
We study stable trace ideals in one dimensional local Cohen-Macaulay rings and give numerous applications.
Reflexive modules, self-dual modules and Arf rings
Hailong Dao
We prove a tight connection between reflexive modules over a one-dimensional ring and its birational extensions that are self-dual as -modules. Consequently, we show that a…
On reflexive and -Ulrich modules over curve singularities
Hailong Dao, Sarasij Maitra, Prashanth Sridhar
We study reflexive modules over one dimensional Cohen-Macaulay rings. Our key technique exploits the concept of -Ulrich modules.