nLab derived category of an algebra over an operad

An analogue of a derived category of differential graded $R$-modules, where $R$ is an associative ring can be found when the ring is replaced by a more general algebra over an operad.

• Clemens Berger, Ieke Moerdijk, On the derived category of an algebra over an operad, Georgian Math. J. 1. 16 (2009), n.1, 13–28 pdf at gmj site arxiv:0801.2664

Abstract. We present a general construction of the derived category of an algebra over an operad and establish its invariance properties. A central role is played by the enveloping operad? of an algebra over an operad.