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math.AC2022★ 1 cited
Auslander-Reiten and Huneke-Wiegand conjectures over quasi-fiber product rings
T. H. Freitas, V. H. Jorge PÉrez, R. Wiegand +1
In this paper we explore consequences of the vanishing of for finitely generated modules over a quasi-fiber product ring ; that is, is a local ring such that $R/…
math.AC2019
Vanishing of Tor over fiber products
Thiago H. Freitas, Victor Hugo Jorge Pérez, Roger Wiegand +1
Let and be local rings, and let denote their fiber product over their common residue field . Inspired by work of Naseh and Sather-W…
math.AC2018
On generalized Hartshorne's conjecture and local cohomology modules
Thiago Henrique Freitas, Victor Hugo Jorge Pérez, Liliam Carsava Merighe
Let denote an ideal of a commutative Noetherian ring . Let and be two -modules. In this paper, we give partial answers on the extension of Hartshorne's…