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Date Published: 28/03/2024
Online Published: 28/03/2024
Abstract Views: 205
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DOI: https://doi.org/10.54607/hcmue.js.21.3.4096(2024)
Issue
Vol. 21 No. 3 (2024)
Section
Articles
How to Cite
Trần , T. N., & Nguyễn , H. H. T. (2024). SOME RESULTS ON THE 0TH FORMAL LOCAL COHOMOLOGY WITH RESPECT TO A NON-MAXIMAL IDEAL. HCMUE Journal of Science, 21(3), 460. https://doi.org/10.54607/hcmue.js.21.3.4096(2024)

SOME RESULTS ON THE 0TH FORMAL LOCAL COHOMOLOGY WITH RESPECT TO A NON-MAXIMAL IDEAL

Tuấn Nam Trần , Hoàng Huy Tú Nguyễn

Main Article Content

Abstract

This paper studies the formal local cohomology with respect to non-maximal ideals. It is an extension of the formal local cohomology for maximal ideals by Schenzel (2007). By using the properties of inverse limits and I-adic topology, we have proved several crucial properties of the formal local cohomology of order 0 regarding non-maximal ideals. In particular, detailed computations were provided for the local cohomology of order 0 as regards non-maximal ideals. The equivalent properties of the formal local cohomology of order 0 regarding non-maximal ideals and associated primes of modules are rigorously proven.

 

Keywords

cohomology dimension, formal cohomology, local cohomology

Article Details

Author Biography

Tuấn Nam Trần,

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References

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