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Seidali Samani, M., Bahmanpour, K.. (1399). ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X]. , 8(1), 95-102. doi: 10.22044/jas.2019.8232.1401
M. Seidali Samani; K. Bahmanpour. "ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X]". , 8, 1, 1399, 95-102. doi: 10.22044/jas.2019.8232.1401
Seidali Samani, M., Bahmanpour, K.. (1399). 'ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X]', , 8(1), pp. 95-102. doi: 10.22044/jas.2019.8232.1401
Seidali Samani, M., Bahmanpour, K.. ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X]. , 1399; 8(1): 95-102. doi: 10.22044/jas.2019.8232.1401

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

Journal of Algebraic Systems
مقاله 9، دوره 8، شماره 1، آذر 2020، صفحه 95-102    اصل مقاله (142.45 K)
نوع مقاله: Original Manuscript
شناسه دیجیتال (DOI): 10.22044/jas.2019.8232.1401
نویسندگان
M. Seidali Samani* ؛ K. Bahmanpour
Faculty of Sciences, Department of Mathematics, University of Mohaghegh Ardabili, P.O. Box 56199-11367, Ardabil, Iran.
چکیده
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.
کلیدواژه‌ها
Annihilator؛ Cohomological dimension؛ Faithfully flat؛ Local cohomology؛ Zero-divisor
مراجع
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آمار
تعداد مشاهده مقاله: 599
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