3 papers
math.AC2023
Tensor products and solutions to two homological conjectures for Ulrich modules
Cleto B. Miranda-Neto, Thyago S. Souza
We address the problem of when the tensor product of two finitely generated modules over a Cohen-Macaulay local ring is Ulrich in the generalized sense of Goto et al., and in parti…
math.AC2022
On reduced G-perfection and horizontal linkage relative to a semidualizing module
Cleto B. Miranda-Neto, Thyago S. Souza
In their investigation of horizontal linkage of modules of finite Gorenstein dimension over a commutative, Noetherian, semiperfect (e.g., local) ring, Dibaei and Sadeghi introduced…
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…