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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.)

Ideal transforms and local cohomology defined by a pair of ideals

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Author(s):
Chu, L. Z. [1] ; Jorge Perez, V. H. [2] ; Lima, P. H. [3]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 17, n. 10 OCT 2018.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 12/20304-1 - Multiplicity, mixed multiplicities, Hilbert coefficient for modules and equisingularity
Grantee:Victor Hugo Jorge Pérez
Support Opportunities: Scholarships abroad - Research