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

Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JAS-8-1_009

تاریخ نمایه سازی: 5 شهریور 1399

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.

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.