When $A$ is a $\mathbb{Z}$-graded module, $A[1]$ is the shift or suspension of $A$ (i.e $(A[1])^{i}=A^{i+1}$). May the $n$th power tensor of the shift be identified in this way?. Am I missing anything?. What if $A$ is a differential graded algebra?.
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4$\begingroup$ Yes (not quite a research level question though). $\endgroup$– Fernando MuroFeb 26, 2019 at 14:57
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1$\begingroup$ Victor, you can definitely ask this question in MSE! You can see this by replacing a string $sa_1sa_2\cdots sa_n$ by $s^n a_1\cdots a_n$, introducing the appropriate Koszul sign. $\endgroup$– Pedro ♦Feb 26, 2019 at 14:58
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$\begingroup$ Thank you very much for the confirmation. Indeed, this was not a research level question, I just wanted make sure I did not omit anything. $\endgroup$– Victor TCFeb 26, 2019 at 17:38
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