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Finiteness properties and Artinianness of formal local cohomology modules dened by a PAIs of ideals

Grant number: 13/20723-7
Support type:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): January 05, 2014
Effective date (End): November 04, 2014
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Victor Hugo Jorge Pérez
Grantee:Thiago Henrique de Freitas
Supervisor abroad: Giulio Caviglia
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Local de pesquisa : Purdue University, United States  
Associated to the scholarship:12/01084-0 - Coefficients ideals for arbitrary ideals, BP.DR

Abstract

In this work, we will go analyse when the Formal Local Cohomology defined by a pair of ideals is an Artinian module and establish conditons of finiteness for this module. (AU)

Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
FREITAS, THIAGO H.; JORGE PEREZ, VICTOR H. On the endomorphism ring and Cohen-Macaulayness of local cohomology defined by a pair of ideals. CZECHOSLOVAK MATHEMATICAL JOURNAL, v. 69, n. 2, p. 453-470, JUN 2019. Web of Science Citations: 0.
FREITAS, T. H.; JORGE PEREZ, V. H. Artinianness and finiteness of formal local cohomology modules with respect to a pair of ideals. BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, v. 58, n. 2, p. 319-340, JUN 2017. Web of Science Citations: 1.
FREITAS, T. H.; PEREZ, V. H. JORGE. ON FORMAL LOCAL COHOMOLOGY MODULES WITH RESPECT TO A PAIR OF IDEALS. JOURNAL OF COMMUTATIVE ALGEBRA, v. 8, n. 3, p. 337-366, FAL 2016. Web of Science Citations: 2.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.