@article {
author = {Saremi, H.},
title = {ARTINIANNESS OF COMPOSED LOCAL COHOMOLOGY MODULES},
journal = {Journal of Algebraic Systems},
volume = {4},
number = {1},
pages = {79-84},
year = {2016},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2016.730},
abstract = {Let $R$ be a commutative Noetherian ring and let $fa$, $fb$ be two ideals of $R$ such that $R/({fa+fb})$ is Artinian. Let $M$, $N$ be two finitely generated $R$-modules. We prove that $H_{fb}^j(H_{fa}^t(M,N))$ is Artinian for $j=0,1$, where $t=inf{iin{mathbb{N}_0}: H_{fa}^i(M,N)$ is not finitelygenerated $}$. Also, we prove that if $DimSupp(H_{fa}^i(M,N))leq 2$, then $H_{fb}^1(H_{fa}^i(M,N))$ is Artinian for all $i$. Moreover, we show that if $dim N=d$, then $H_{fb}^j(H_{fa}^{d-1}(N))$ is Artinian for all $jgeq 1$.},
keywords = {Generalized local cohomology,Local cohomology,Artinian modules},
url = {https://jas.shahroodut.ac.ir/article_730.html},
eprint = {https://jas.shahroodut.ac.ir/article_730_b73d8831c14ac1772432c3f6a0548594.pdf}
}