$R$ is a commutative artinian ring. $G$ is a finite group. Is it true that $R[G]$ is artinian?
$R$ is a commutative artinian ring. $G$ is a finite group. Is it true that $R[G]$ is artinian?
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noncommutative-algebra
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3A decreasing chain of ideals in $R[G]$ is a decreasing chain of $R$-submodules of the finitely generated $R$-module $R[G]$, no? – 2011-12-15