3 papers
math.AC2024
Homological dimensions, the Gorenstein property, and special cases of some conjectures
Souvik Dey, Rafael Holanda, Cleto B. Miranda-Neto
Our purpose in this work is multifold. First, we provide general criteria for the finiteness of the projective and injective dimensions of a finite module over a (commutative)…
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.AC2018
Strong -regularity and generating morphisms of local cohomology modules
Mordechai Katzman, Cleto B. Miranda-Neto
We establish a criterion for the strong -regularity of a (non-Gorenstein) Cohen-Macaulay reduced complete local ring of dimension at least , containing a perfect field of pri…