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GORENSTEIN HOMOLOGICAL PROPERTIES OF TENSOR RINGS
Published online by Cambridge University Press: 07 June 2018
Abstract
Let $R$ be a two-sided Noetherian ring, and let
$M$ be a nilpotent
$R$-bimodule, which is finitely generated on both sides. We study Gorenstein homological properties of the tensor ring
$T_{R}(M)$. Under certain conditions, the ring
$R$ is Gorenstein if and only if so is
$T_{R}(M)$. We characterize Gorenstein projective
$T_{R}(M)$-modules in terms of
$R$-modules.
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- © 2018 Foundation Nagoya Mathematical Journal
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