Commutative ring spectrum

In algebraic topology, a commutative ring spectrum, roughly equivalent to a E ∞ {\displaystyle E_{\infty }} -ring spectrum, is a commutative monoid in a good category of spectra. The category of commutative ring spectra over the field Q {\displaystyle \mathbb {Q} } of rational numbers is Quillen equivalent to the category of differential graded algebras over Q {\displaystyle \mathbb {Q} } .

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