Derived tensor product

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In algebra, given a differential graded algebra A over a commutative ring R, the derived tensor product functor is

where and are the categories of right A-modules and left A-modules and D refers to the homotopy category (i.e., derived category).[1] By definition, it is the left derived functor of the tensor product functor .

See also


  1. ^ Hinich, Vladimir (1997-02-11). "Homological algebra of homotopy algebras". arXiv:q-alg/9702015Freely accessible. 


  • Lurie, J., Spectral Algebraic Geometry (under construction)

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