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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…