Derived tensor product

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/9702015.


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