ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X]
Publish place: Journal of Algebraic Systems، Vol: 8، Issue: 1
Publish Year: 1399
Type: Journal paper
Language: English
View: 373
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Document National Code:
JR_JAS-8-1_009
Index date: 26 August 2020
ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X] 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.
ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X] Keywords:
ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X] authors
M. Seidali Samani
Faculty of Sciences, Department of Mathematics, University of Mohaghegh Ardabili, P.O. Box ۵۶۱۹۹-۱۱۳۶۷, Ardabil, Iran.
K. Bahmanpour
Faculty of Sciences, Department of Mathematics, University of Mohaghegh Ardabili, P.O. Box ۵۶۱۹۹-۱۱۳۶۷, Ardabil, Iran.