T. H. Freitas

activity

20152026

most citedOn generalized Hartshorne's conjecture and local cohomology modules

1 citations · 2 across the 9 of their papers we have counts for

collaborators

12 papers

math.AC2026

Generalized mixed sequence multiplicity

T. H. Freitas, V. H. Jorge Pérez

Let $(R, m, k)$ be a Noetherian local ring, let $M$ be a nonzero finitely generated $R$ -module, and let $J_{1}, \dots, J_{s}$ be arbitrary proper ideals of positive height on $M…

math.AC2026

Asymptotic multiplicity sequences of graded families

T. H. Freitas, V. H. Jorge Pérez

We study asymptotic multiplicity sequences of graded families of arbitrary ideals in Noetherian local rings. We characterize convergence of the zeroth component and prove that the…

math.AC2026

Mixed multiplicities and Rees Theorems for graded families and their converses

T. H. Freitas, V. H. Jorge Pérez

Let $(R, m)$ be a Noetherian local ring and let $I^{(1)}, \dots, I^{(s)}$ be graded $m$ -primary families. We introduce weak asymptotic and stron…

math.AC2024

Some Homological Conjectures Over Idealization Rings

Igor Nascimento, Victor Jorge-Pérez, Thiago Freitas

Let $(R, m, k)$ be a Noetherian local ring and let $M$ be a finitely generated $R$ -module. The main focus of this paper is to give positive answers for some long-standing…

math.AG2024

On the Gluing of germs of complex analytic spaces, Betti numbers and their structure

T. H. Freitas, J. A. Lima

In this paper we introduce new classes of gluing of complex analytic spaces germs, called weakly large, large and strongly large. We give a description of their Poincaré series and…

math.AC2024

On General fiber product rings, Poincaré series and their structure

T. H. Freitas, J. A. Lima

The present paper deals with the investigation of the structure of general fiber product rings $R \times_{T} S$ , where $R$ , $S$ and $T$ are local rings with common residue field. We sh…

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 $Ext$ for finitely generated modules over a quasi-fiber product ring $R$ ; that is, $R$ is a local ring such that $R/…

math.AC2021

Generalized local duality, canonical modules, and prescribed bound on projective dimension

Thiago H. Freitas, Victor H. Jorge-Pérez, Cleto B. Miranda-Neto +1

We present various approaches to J. Herzog's theory of generalized local cohomology and explore its main aspects, e.g., (non-)vanishing results as well as a general local duality t…

math.AC2019

Vanishing of Tor over fiber products

Thiago H. Freitas, Victor Hugo Jorge Pérez, Roger Wiegand +1

Let $(S, m, k)$ and $(T, n, k)$ be local rings, and let $R$ denote their fiber product over their common residue field $k$ . Inspired by work of Naseh and Sather-W…

math.AC2018★ 1 cited

On generalized Hartshorne's conjecture and local cohomology modules

Thiago Henrique Freitas, Victor Hugo Jorge Pérez, Liliam Carsava Merighe

Let $a$ denote an ideal of a commutative Noetherian ring $R$ . Let $M$ and $N$ be two $R$ -modules. In this paper, we give partial answers on the extension of Hartshorne's…

math.AC2015

Artinianness and Finiteness of Formal Local Cohomology Modules with Respect to a Pair of Ideals

T. H. Freitas, V. H. Jorge Pérez

Let $(R, m)$ be a commutative Noetherian local ring, $M$ be a finitely generated $R$ -module and $a$ , $I$ and $J$ be ideals of $R$ . We investigate the structure…

math.AC2015

Some Results about Endomorphism Rings for Local Cohomology Defined by a Pair of Ideals

V. H. Jorge Perez, T. H. Freitas

Let $(R, m, k)$ denote a local ring. For $I$ and $J$ ideals of $R$ , for all integer $i$ , let $H_{I, J}^{i} (-)$ denote the $i$ -th local cohomology functor with respect to $(I,…