منابع مشابه
Structured ring spectra and displays
We combine Lurie’s generalization of the Hopkins–Miller theorem with work of Zink–Lau on displays to give a functorial construction of even-periodic E1 ring spectra E , concentrated in chromatic layers 2 and above, associated to certain n n invertible matrices with coefficients in the Witt ring of 0.E/ . This is applied to examples related to Lubin–Tate and Johnson–Wilson spectra. We also give ...
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Working in the context of symmetric spectra, we consider any higher algebraic structures that can be described as algebras over an operad O. We prove that the fundamental adjunction comparing O-algebra spectra with coalgebra spectra over the associated comonad K, via topological Quillen homology (or TQ-homology), can be turned into an equivalence of homotopy theories by replacing O-algebras wit...
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Pursuing ideas of Jeff Smith, we develop a homotopy theory of ideals of monoids in a symmetric monoidal model category. This includes Smith ideals of structured ring spectra and of differential graded algebras. Such Smith ideals are NOT subobjects, and as a result the theory seems to require us to consider all Smith ideals of all monoids simultaneously, rather then restricting to the Smith idea...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2018
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2017.04.012