ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂ R[X]

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Seidali Samani Masoud; Bahmanpour Kamal

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Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2020 | Volume:8 | Issue:1 Page(s): 95-102

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Information Journal Paper

Title

ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂ R[X]

Author(s)

Seidali Samani Masoud | Bahmanpour Kamal | Issue Writer Certificate

Keywords

Annihilator

cohomological dimension

faithfully flat

local cohomology

zerodivisor

Abstract

Let R be a commutative Noetherian ring, I an ideal of R and M a non-zero R-module. In this paper we calculate the extension of Annihilator of local cohomology modules H^t_I(M), t≥ 0, under the ring extension R⊂ R[X] (resp. R⊂ R[[X]]). By using this extension we will present some of the faithfulness conditions of local cohomology modules, and show that if the Lynch's conjecture, in [11], holds in R[[X]], then it will holds in R.

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APA: Copy

Seidali Samani, Masoud, & Bahmanpour, Kamal. (2020). ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂ R[X]. JOURNAL OF ALGEBRAIC SYSTEMS, 8(1 ), 95-102. SID. https://sid.ir/paper/380296/en

Vancouver: Copy

Seidali Samani Masoud, Bahmanpour Kamal. ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂ R[X]. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2020;8(1 ):95-102. Available from: https://sid.ir/paper/380296/en

IEEE: Copy

Masoud Seidali Samani, and Kamal Bahmanpour, “ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂ R[X],” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 8, no. 1 , pp. 95–102, 2020, [Online]. Available: https://sid.ir/paper/380296/en

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