dc.contributor.author | Pham, Hung Quy | |
dc.contributor.author | Nhan, Le Thanh | |
dc.date.accessioned | 2016-11-29T05:57:33Z | |
dc.date.available | 2016-11-29T05:57:33Z | |
dc.date.issued | 2014-12-15 | |
dc.identifier.uri | http://ds.libol.fpt.edu.vn/handle/123456789/2009 | |
dc.description | 10 pages | en_US |
dc.description.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 ... | en_US |
dc.language.iso | en | en_US |
dc.publisher | Academic Press | en_US |
dc.subject | Universally catenary rings whose formal fibers are Cohen–Macaulay | en_US |
dc.subject | Attached primes of local cohomology modules | en_US |
dc.subject | Shifted localization principle | en_US |
dc.title | Attached primes of local cohomology modules under localization and completion | en_US |
dc.type | Other | en_US |
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