13 citations · 36 across the 22 of their papers we have counts for
22 papers
Local dual spaces and primary decomposition
Justin Chen, Marc Härkönen, Anton Leykin
Generalizing the concept of the Macaulay inverse system, we introduce a way to describe localizations of an ideal in a polynomial ring. This leads to an approach to the differentia…
Representing matroids via pasture morphisms
Tianyi Zhang, Justin Chen
Using the framework of pastures and foundations of matroids developed by Baker-Lorscheid, we give algorithms to: (i) compute the foundation of a matroid, and (ii) compute all morph…
Units of hyperelliptic curves over
Justin Chen, Vishal Muthuvel
We study unit groups of rings of the form , for -- in particular, the question of (non)triviality of such unit groups.…
On the ideal avoidance property
Justin Chen, Abolfazl Tarizadeh
In this article, we investigate the avoidance property of ideals and rings. Among the main results, a general version of the avoidance lemma is formulated. It is shown that every i…
Sums of squares, Hankel index, and almost real rank
Grigoriy Blekherman, Justin Chen, Jaewoo Jung
The Hankel index of a real variety is an invariant that quantifies the difference between nonnegative quadrics and sums of squares on . In [5], the authors proved an intrigu…
Primary decomposition of modules: a computational differential approach
Justin Chen, Yairon Cid-Ruiz
We study primary submodules and primary decompositions from a differential and computational point of view. Our main theoretical contribution is a general structure theory and a re…