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Please use this identifier to cite or link to this item: http://ds.libol.fpt.edu.vn/handle/123456789/2009

Title: Attached primes of local cohomology modules under localization and completion
Authors: Pham, Hung Quy
Nhan, Le Thanh
Keywords: Universally catenary rings whose formal fibers are Cohen–Macaulay
Attached primes of local cohomology modules
Shifted localization principle
Issue Date: 15-Dec-2014
Publisher: Academic Press
Abstract: In this paper, we study attached primes of H m i ( M ) under localization and m m -adic completion. We prove that the shifted localization principle (1) and the shifted completion principle (2) are both equivalent to the condition that the base ring R is universally catenary and all formal fibers of R are Cohen–Macaulay. The following theorem is the main result of this paper. ... Att R ˆ ( H m i ( M ) ) = ⋃ p ∈ Att R ( H m i ( M ) ) Ass R ˆ ( R ˆ / p R ˆ ) for every finitely generated R-module M and integer i≥0 i ≥ 0 . ... It should be mentioned that the condition (i) in ...
Description: 10 pages
URI: http://ds.libol.fpt.edu.vn/handle/123456789/2009
Appears in Collections:Articles published by FPT lecturers

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