### Rings, modules, and algebras in infinite loop space theory, by A. D. Elmendorf and M. A. Mandell

This is a major revision of a previous submission of the same name,
paper number 680. We have completely rewritten sections 5 -- 7,
giving a new construction of the first part of our functor. The main
abstract is as follows:
We give a new construction of the algebraic $K$-theory of small
permutative categories that preserves multiplicative structure, and
therefore allows us to give a unified treatment of rings, modules, and
algebras in both the input and output. This requires us to define
multiplicative structure on the category of small permutative
categories. The framework we use is the concept of multicategory
(elsewhere also called colored operad), a generalization of symmetric
monoidal category that precisely captures the multiplicative structure
we have present at all stages of the construction. Our method ends up
in the Hovey-Shipley-Smith category of symmetric spectra, with an
intermediate stop at a category of functors out of a particular wreath
product.

A. D. Elmendorf <aelmendo@calumet.purdue.edu>

M. A. Mandell <M.A.Mandell@dpmms.cam.ac.uk>