Rings, Modules, and Algebras in Infinite Loop Space Theory

  title={Rings, Modules, and Algebras in Infinite Loop Space Theory},
  author={Michael A. Mandell},
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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E∞ ring spaces and E∞ ring spectra, with contributions by Frank Quinn, Nigel Ray, and Jørgen Tornehave, Lecture Notes in Mathematics vol

  • J. P. May
  • 577, Springer-Verlag, Berlin-New York,
  • 1977
Highly Influential
9 Excerpts

En-monoidal categories and their group completions

  • G. Dunn
  • J. Pure Appl. Algebra
  • 1994
1 Excerpt

and E

  • A. K. Bousfiel
  • M. Friedlander, Homotopy theory of Γ-spaces…
  • 1978
3 Excerpts

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