9 citations · 10 across the 9 of their papers we have counts for
11 papers
Trace ideals of syzygies
Haydee Lindo, Justin Lyle, Sarasij Maitra
We study the behavior of trace ideals under taking syzygies. In particular, when is numerical semigroup ring and is a homogeneous ideal in , we obtain an upper estimate…
Shuffling the Deck: Invariant Theory and the Graph Reconstruction Conjecture
Emilie Dufresne, Gabriela Jeronimo, Jenny Kenkel +2
The graph reconstruction conjecture asserts that every simple graph on at least three vertices is uniquely determined by its deck of vertex-deleted subgraphs. In this expository ar…
Gorenstein Special Fiber Rings of Ladder Determinantal Modules
Louiza Fouli, Kuei-Nuan Lin, Haydee Lindo +1
A ladder determinantal module is an arbitrary direct sum of ideals of maximal minors of a generic ladder matrix. In this article, we give necessary and sufficient conditions for th…
Trace does not preserve Reflexivity
Haydee Lindo, Sarasij Maitra, William Zhang
In this note, we address a question raised in a recent work by Dao-Maitra-Sridhar, regarding the preservation of reflexivity under taking trace. We answer this question negatively.…
Algebraic invariants of special fiber rings of ladder determinantal modules
Alessandra Costantini, Louiza Fouli, Kriti Goel +4
We provide explicit formulas for key invariants of special fiber rings of ladder determinantal modules, that is, modules that are direct sums of ideals of maximal minors of a ladde…
The trace property in preenveloping classes
Haydee Lindo, Peder Thompson
We develop the theory of trace modules up to isomorphism and explore the relationship between preenveloping classes of modules and the property of being a trace module, guided by t…
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.
Canonical Resolutions over Koszul Algebras
Eleonore Faber, Martina Juhnke-Kubitzke, Haydee Lindo +3
We generalize Buchsbaum and Eisenbud's resolutions for the powers of the maximal ideal of a polynomial ring to resolve powers of the homogeneous maximal ideal over graded Koszul al…
Trace Ideals and the Gorenstein Property
Haydee Lindo, Nina Pande
Let R be a local Noetherian commutative ring. We prove that R is an Artinian Gorenstein ring if and only if every ideal in R is a trace ideal. We discuss when the trace ideal of a…
Self-injective commutative rings have no nontrivial rigid ideals
Haydee Lindo
We establish a link between trace modules and rigidity in modules over Noetherian rings. Using the theory of trace ideals we make partial progress on a question of Dao, and on the…
Trace Ideals and Centers of Endomorphism Rings of Modules over Commutative Rings
Haydee Lindo
Let be a commutative Noetherian ring and a finitely generated -module. Under various hypotheses, it is proved that the center of $\mbox{End}_R(M)$ coincides with the end…