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- W2911592956 abstract "Building upon Hovey's work on Smith ideals for monoids, we develop a homotopy theory of Smith ideals for general operads in a symmetric monoidal category. For a sufficiently nice stable monoidal model category and an operad satisfying a cofibrancy condition, we show that there is a Quillen equivalence between a model structure on Smith ideals and a model structure on algebra maps induced by the cokernel and the kernel. For symmetric spectra this applies to the commutative operad and all Sigma-cofibrant operads. For chain complexes over a field of characteristic zero and the stable module category, this Quillen equivalence holds for all operads." @default.
- W2911592956 created "2019-02-21" @default.
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- W2911592956 creator A5091487390 @default.
- W2911592956 date "2017-03-15" @default.
- W2911592956 modified "2023-09-27" @default.
- W2911592956 title "Smith Ideals of Operadic Algebras in Monoidal Model Categories" @default.
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