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
- derived scheme (derived tensor product gives a derived version of a scheme-theoretic intersection.)
Notes
- ^ Hinich, Vladimir (1997-02-11). "Homological algebra of homotopy algebras". arXiv:q-alg/9702015 .
References
- Lurie, J., Spectral Algebraic Geometry (under construction)
This algebraic geometry related article is a stub. You can help Wikipedia by expanding it. |
This page is based on the copyrighted Wikipedia article "Derived tensor product"; it is used under the Creative Commons
Attribution-ShareAlike 3.0 Unported License (CC-BY-SA). You may
redistribute it, verbatim or modified, providing that you comply with
the terms of the CC-BY-SA