symmetric monoidal (∞,1)-category of spectra
equivalences in/of $(\infty,1)$-categories
Recall that a monoid object or algebra object in a monoidal category $C$ is the same as a lax monoidal functor
This definition generalized to monoidal (∞,1)-categories and defines algebra objects for these.
For $C$ a monoidal (∞,1)-category with monoidal structure determined by the (∞,1)-functor
a monoid object of $C$ is a lax monoidal (∞,1)-functor?
definition 1.1.14 in
An equivalent reformulation of commutative monoids in terms (∞,1)-algebraic theories is in