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

Autor(es)

Freitas, T. H. ^[1] ; Jorge Perez, V. H. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Tecnol Fed Parana, Guarapuava, PR - Brazil

^[2] Univ Sao Paulo, ICMC, Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY; v. 58, n. 2, p. 319-340, JUN 2017.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 13/20723-7 - Propriedades de finitude e Artinianissidade do módulo cohomologia local formal, definida por um par de ideais
• Beneficiário: Thiago Henrique de Freitas
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
• Processo FAPESP: 12/20304-1 - Multiplicidades, multiplicidades mistas, coeficientes de Hilbert para módulos e equisingularidade
• Beneficiário: Victor Hugo Jorge Pérez
• Modalidade de apoio: Bolsas no Exterior - Pesquisa
• Processo FAPESP: 12/01084-0 - Ideais coeficientes para ideais arbitrários
• Beneficiário: Thiago Henrique de Freitas
• Modalidade de apoio: Bolsas no Brasil - Doutorado