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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Artinianness and finiteness of formal local cohomology modules with respect to a pair of ideals

Full text
Author(s):
Freitas, T. H. [1] ; Jorge Perez, V. H. [2]
Total Authors: 2
Affiliation:
[1] Univ Tecnol Fed Parana, Guarapuava, PR - Brazil
[2] Univ Sao Paulo, ICMC, Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY; v. 58, n. 2, p. 319-340, JUN 2017.
Web of Science Citations: 1
Abstract

Let (R, m) be a commutative Noetherian local ring, M be a finitely generated R-module and a, I and J are ideals of R. We investigate the structure of formal local cohomology modules of F-a,F-I,(i)(J) (M) and (sic)(a,I),(i)(J) (M) with respect to a pair of ideals, for all i >= 0. The main subject of the paper is to study the finiteness properties and artinianness of F-a,I,J(i) (M) and (sic)(a,m,J)(i) (M). We study the maximum and minimum integer i is an element of N such that F-a, m, J(i) (M) and (sic)(a, m, J)(i) (M) are not Artinian and we obtain some results involving cosupport, coassociated and attached primes for formal local cohomology modules with respect to a pair of ideals. Also, we give an criterion involving the concepts of finiteness and vanishing of formal local cohomology modules and Cech-formal local cohomology modules with respect to a pair of ideals. (AU)

FAPESP's process: 12/20304-1 - Multiplicity, mixed multiplicities, Hilbert coefficient for modules and equisingularity
Grantee:Victor Hugo Jorge Pérez
Support type: Scholarships abroad - Research
FAPESP's process: 13/20723-7 - Finiteness properties and Artinianness of formal local cohomology modules dened by a PAIs of ideals
Grantee:Thiago Henrique de Freitas
Support type: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 12/01084-0 - Coefficients ideals for arbitrary ideals
Grantee:Thiago Henrique de Freitas
Support type: Scholarships in Brazil - Doctorate