Commutative Γ-Rings do not model all commutative ring spectra

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We show that the free E-algebra on a zero-cell cannot be modeled by a commutative Γ-ring. The proof shows that Dyer-Lashof operations of positive degree must vanish on the zero'th homology of such an object.

Original languageEnglish (US)
Pages (from-to)189-194
Number of pages6
JournalHomology, Homotopy and Applications
Issue number2
StatePublished - 2009


  • Dyer-Lashof operation
  • Gamma-space
  • Ring spectrum

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