4 papers
A theorem about maximal Cohen-Macaulay modules
Thomas Polstra
It is shown in a local strongly -regular ring there exits natural number so that if is any finitely generated maximal Cohen-Macaulay module then the pushforward of …
Equimultiplicity Theory of Strongly -regular rings
Thomas Polstra, Ilya Smirnov
We explore the equimultiplicity theory of the -invariants Hilbert--Kunz multiplicity, -signature, Frobenius Betti numbers, and Frobenius Euler characteristic over strongly $F…
Global Frobenius Betti numbers and F-splitting ratio
Alessandro De Stefani, Thomas Polstra, Yongwei Yao
We extend the notion of Frobenius Betti numbers and F-splitting ratio to large classes of finitely generated modules over rings of prime characteristic, which are not assumed to be…
Depths and Cohen-Macaulay Properties of Path Ideals
Daniel Campos, Ryan Gunderson, Susan Morey +2
Given a tree T on n vertices, there is an associated ideal I of a polynomial ring in n variables over a field, generated by all paths of a fixed length of T. We show that such an i…