Let $R$ be a commutative noetherian ring, the derived category $D(R)$ has a monoidal structure given by derived tensor product.
What are monoids and commutative monoids in this category? Are they related to $A_\infty$ and $E_\infty$ algebras?
Monoid (Ring object) in a derived category
2
$\begingroup$
abstract-algebra
reference-request
homological-algebra
-
0They are analogous to homotopy associative H-spaces, and have less structure than what is necessary to get something $A_{\infty}$ etc. For that you need the stable $\infty$-category, not the derived category. – 2017-01-13
-
0What exactly is the definition of the $\infty$-category that I need here? Any references? – 2017-01-13