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math.AC2023
On modules whose dual is of finite Gorenstein dimension
Victor D. Mendoza-Rubio, Victor H. Jorge-Pérez
In this paper, we aim to obtain some results under the condition that the dual of a module over a commutative Noetherian ring has finite Gorenstein dimension. In this direction, we…
math.AC2023
The Auslander-Reiten Conjecture, Finite -Injective Dimension of , and vanishing of
Victor D. Mendoza-Rubio, Victor H. Jorge-Pérez
Let be a Noetherian local ring, and let be a semidualizing -module. In this paper, we present some results concerning the vanishing of and finite in…
math.AC2023
Mixed multiplicity and Converse of Rees' theorem for modules
M. D. Ferrari, V. H. Jorge-Perez, L. C. Merighe
In this paper, we prove the converse of Rees' mixed multiplicity theorem for modules, which extends the converse of the classical Rees' mixed multiplicity theorem for ideals given…