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math.AC2022
On reduction numbers and Castelnuovo-Mumford regularity of blowup rings and modules
Cleto B. Miranda-Neto, Douglas S. Queiroz
We prove new results on the connections between reduction numbers and the Castelnuovo-Mumford regularity of blowup algebras and blowup modules, the key basic tool being the operati…
math.AC2022
On the theory of generalized Ulrich modules
Cleto B. Miranda-Neto, Douglas S. Queiroz, Thyago S. Souza
In this paper we further develop the theory of generalized Ulrich modules introduced in 2014 by Goto et al. Our main goal is to address the problem of when the operations of taking…