added to the Definition-section of *augmented A-infinity algebra* a pointer to the very general definition 5.2.3.14 in *Higher Algebra*.

Jim,

I have added:

to the base E-∞ ring (which might be a plain commutative ring).

Does that help?

]]>Jim, in case this helps, you can render LaTeX in comments by first clicking on Markdown+Itex, where it says “Format comments as” below the comment box.

]]>I just meant without invoking $E_\infty$ ]]>

Haha, speaking of misprints: I know of a mathematician named Gregory Arone, but not Fregory Arone! :-)

]]>there is the notion of augmentation for an Aoo-algebra pure and simple

Hm, you mean a notion different from the pure and simple “equipped with a map to the base $\infty$-ring”, as in the entry?

Maybe you just want me to make a distinction between on the one hand $A_\infty$-algebras in characteristic 0, hence in chain complexes and on the other the general notion of $A_\infty$-algebras in spectra? If so, I’d ask: why? The simple definition of augmentation does not depend on this.

]]>Thansk, Jim.

I have now added a warning remark here about a possible simplicial meaning of augmentation that one might think of.

Also I have fixed some misprints. (Possiby I did introduce new misprints though… ;-)

]]>started *augmented A-infinity algebra*