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Oct 8 at 13:53 comment added onefishtwofish @Z.M Thank you I appreciate your reply.
Oct 8 at 8:40 comment added Z. M Lurie's Spectral Algebraic Geometry, and more precisely, section 7.3.5. For this particular formal power series, you even have $\mathbb S[\![t]\!]=\lim_n\mathbb S[t]/t^n$ where each $\mathbb S[t]/t^n$ is a monoidal ring.
Oct 7 at 23:24 comment added onefishtwofish @Z.M What's a reference for this kind of completion?
Oct 7 at 21:18 comment added Z. M The formal power series ring $\mathbb S[\![t]\!]$ is just the $t$-completion of the polynomial ring $\mathbb S[t]$: the $t$-completion functor $D(\mathbb S[t])\to D(\mathbb S[t])$ carries a canonical lax symmetric monoidal, thus it sends an $E_\infty$-algebra to an $E_\infty$-algebra.
Oct 7 at 20:16 history asked onefishtwofish CC BY-SA 4.0