Abstract
Given an integer $N\geq 2$ and a self-orthogonal subcategory $\mathcal {W}$ of an abelian category $\mathscr {A}$, we investigate the $\mathcal {W}$-Gorenstein $N$-complexes. We show that an $N$-complex $G$ is $\mathcal {W}$-Gorenstein if and only if $G$ is an $N$-complex consisting of $\mathcal {W}$-Gorenstein objects in $\mathscr {A}$. As an application, we improve a result of Estrada.
Citation
Bo Lu. Jiaqun Wei. Zhenxing Di. "$\mathcal {W}$-Gorenstein $N$-complexes." Rocky Mountain J. Math. 49 (6) 1973 - 1992, 2019. https://doi.org/10.1216/RMJ-2019-49-6-1973
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