Does anyone know if there is a note or a paper about the derived category of the category $\sigma[M]$ where $M$ is a left module over a ring?, and some uses of this.
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4$\begingroup$ What is $\sigma[M]$? $\endgroup$– Qiaochu YuanCommented Apr 8, 2015 at 23:44
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1$\begingroup$ Sorry i'll try to be more specific $\sigma[M]$ denotes the full subcategory of a module category, of modules subgenerated by $M$, that is, $N\in\sigma[M]$ if and only there is a set $I$ for which $N$ is a submodule of a quotient $M^{(I)}/K$ for some $K$, an example of this, consider any associative ring with unit $R$, then $\sigma[R]=R-Mod$. $\endgroup$– Angel ZaldívarCommented Apr 9, 2015 at 3:24
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