Ideal transforms and local cohomology defined by a pair of ideals

Autor(es)

Chu, L. Z. ^[1] ; Jorge Perez, V. H. ^[2] ; Lima, P. H. ^[3]

Afiliação do(s) autor(es)

^[1] Soochow Univ, Dept Math, Suzhou - Peoples R China

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

^[3] Univ Fed Maranhao, BR-65065545 Sao Luis, MA - Brazil

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 17, n. 10 OCT 2018.
• Citações Web of Science: 0

Resumo

In this paper, we introduce a generalization of the ordinary ideal transform, denoted by D-I,D- J, which is called the ideal transform with respect to a pair of ideals (I, J) and has an apparent algebraic structure. Then we study its various properties and explore the connection with the ordinary ideal transform. Also, we discuss the associated primes of local cohomology modules with respect to a pair of ideals. In particular, we give a characterization for the associated primes of the nonvanishing generalized local cohomology modules. (AU)

• 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