Title : ( Comparison of local cohomlogy modules of a ring and its amalgamated algebra along a given ideal )
Authors: BATOUL NAAL , Kazem Khashyarmanesh ,
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Abstract
Throughout the paper, R denotes a commutative Noetherian ring with nonzero unity and I and J denote arbitrary ideals of R. The amalgamated of R along an ideal J, which was introduced and studied in [2, 5, 6] (see, also [3, 4] for its natural generalization), denoted by R J, is defined as the following subring of R × R: R x J = {(r, r + j); r ∈ R, j ∈ J}. This construction has several applications in difference contexts (see, for example, [7, 13]). Clearly, by using the scalars product s(r, r + j) = (sr, sr + sj), for all s ∈ R, and (r, r + j) ∈ R x J, it follows that R x J has an R-module structure.
Keywords
Local cohomology module; amalgamated of a ring along an ideal; associated prime ideal; cofinite module.
@article{paperid:1078815,
author = {NAAL, BATOUL and Khashyarmanesh, Kazem},
title = {Comparison of local cohomlogy modules of a ring and its amalgamated algebra along a given ideal},
journal = {Journal of Algebra and its Applications},
year = {2019},
volume = {20},
number = {2},
month = {November},
issn = {0219-4988},
keywords = {Local cohomology module; amalgamated of a ring along an ideal; associated
prime ideal; cofinite module.},
}
%0 Journal Article
%T Comparison of local cohomlogy modules of a ring and its amalgamated algebra along a given ideal
%A NAAL, BATOUL
%A Khashyarmanesh, Kazem
%J Journal of Algebra and its Applications
%@ 0219-4988
%D 2019
