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20182024
most citedOn Virtually Cohen-Macaulay Simplicial Complexes

2 citations · 5 across the 12 of their papers we have counts for

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math.AC2024

Parabolic-equivariant modules over polynomial rings in infinitely many variables

Teresa Yu

We study the category of -equivariant modules over the infinite variable polynomial ring, where denotes the subgroup of the infinite general linear group $…

math.AC2024

Jets and principal components of monomial ideals, and very well-covered graphs

Federico Galetto, Nicholas Iammarino, Teresa Yu

Motivated by using combinatorics to study jets of monomial ideals, we extend a definition of jets from graphs to clutters. We offer some structural results on their vertex covers,…

math.AC2023

Standard monomial theory modulo Frobenius in characteristic two

Laura Casabella, Teresa Yu

Over a field of characteristic two, we develop a theory of standard monomials for polynomial rings modulo a Frobenius power of the maximal ideal generated by all variables. As a re…

math.AC2020★ 2 cited

On Virtually Cohen-Macaulay Simplicial Complexes

Nathan Kenshur, Feiyang Lin, Sean McNally +2

We examine virtual resolutions of Stanley-Reisner ideals for a product of projective spaces. In particular, we provide sufficient conditions for a simplicial complex to be virtuall…

math.AC2020

Completions of Uncountable Local Rings with Countable Spectra

S. Loepp, Teresa Yu

We find necessary and sufficient conditions for a complete local (Noetherian) ring to be the completion of an uncountable local (Noetherian) domain with a countable spectrum. Our r…

math.AC2020★ 2 cited

Completions of Countable Excellent Domains and Countable Noncatenary Domains

S. Loepp, Teresa Yu

We find necessary and sufficient conditions for a complete local ring containing the rationals to be the completion of a countable excellent local (Noetherian) domain. Furthermore,…