8 citations · 10 across the 6 of their papers we have counts for
11 papers · 1 filter
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…
Optimal Parametrizations and Valuations
Reinhold Hübl, Craig Huneke, Sarasij Maitra +1
This article discusses a way for uniquely setting up the valuations for the minimal generators of the maximal ideal of a one dimensional complete reduced and irreducible local alge…
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.…
Unstable elements in cohomology and a question of Lescot
Srikanth B. Iyengar, Sarasij Maitra, Tim Tribone
In his work on the Bass series of syzygy modules of modules over a commutative noetherian local ring , Lescot introduces a numerical invariant, denoted , and asks whether…
A family of simplicial resolutions which are DG-algebras
James Cameron, Trung Chau, Sarasij Maitra +1
Each monomial ideal over a polynomial ring admits a free resolution which has the structure of a DG-algebra, namely, the Taylor resolution. A pivot resolution of a monomial ideal,…
Annihilators of (co)homology and their influence on the trace Ideal
Justin Lyle, Sarasij Maitra
Let be a commutative Noetherian local ring, and suppose is Cohen-Macaulay with canonical module . We develop new tools for analyzing questions involving…