4 papers
Bounds on Dao numbers and applications to regular local rings
Antonino Ficarra, Cleto B. Miranda-Neto, Douglas S. Queiroz
The so-called Dao numbers are a sort of measure of the asymptotic behaviour of full properties of certain product ideals in a Noetherian local ring with infinite residue field…
Dao's question on the asymptotic behaviour of fullness
Cleto B. Miranda-Neto, Douglas S. Queiroz
For a local ring $(R, \M)$ of infinite residue field and positive depth, we address the question raised by H. Dao on how to control the asymptotic behaviour of the $\M$-full, full,…
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…
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…