Rings, Modules, and Algebras in Infinite Loop Space Theory

@inproceedings{Mandell2004RingsMA,
  title={Rings, Modules, and Algebras in Infinite Loop Space Theory},
  author={Michael A. Mandell},
  year={2004}
}
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, a generalization of symmetric monoidal category that precisely captures the multiplicative structure we… CONTINUE READING
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