Nagoya Mathematical Journal ( IF 0.556 ) Pub Date : 2018-06-07 , DOI: 10.1017/nmj.2018.19
XIAO-WU CHEN; MING LU

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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