# 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.

# References

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

Revised on September 15, 2009 14:47:52 by Urs Schreiber (195.37.209.182)