nLab
associative ring spectrum

Definition

An associative ring spectrum, or A-infinity ring, is an monoid object in the stable (infinity,1)-category of spectra with its smash product of spectra monoidal structure.

Equivalently, this should be the same as an ordinary monoid with respect to the symmetric monoidal smash product of spectra.

Remarks

References

the (,1)(\infty,1)-categorical description of associative ring spectra is in section 4.3 of

Last revised on September 15, 2009 at 14:47:52. See the history of this page for a list of all contributions to it.