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

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 con...

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Bibliographic Details
Main Authors: M. Seidali Samani, K. Bahmanpour
Format: Article
Language:English
Published: Shahrood University of Technology 2020-09-01
Series:Journal of Algebraic Systems
Subjects:
Online Access:http://jas.shahroodut.ac.ir/article_1769_8358f552c2c0aeaab43aeb2d2290d1bf.pdf