چکیده انگلیسی:
Let $Phi$ be a system of ideals of a commutative Noetherian ring, we study the annihilators and attached primes of local cohomology modules with respect to a system of ideals. We prove that if $M$ is a non-zero finitely generated $R$-module of finite dimension $d$ and $Phi$ is a system of ideals, then$$Att(H^d_Phi(M))={pin Ass Mmid cd(Phi,R/p)=d}.$$ Moreover, if the cohomology dimension of $M$ with respect to $Phi$ is $dim M-1,$ then $$Att(H^{dim M-1}_Phi(M))={pin Supp M mid cd(Phi,R/p)=dim M-1}.$$
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