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Regularity of structured ring spectra and localization in K-theory

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arxiv 1402.6038 v2 pith:ENWADUUY submitted 2014-02-25 math.KT math.AT

Clark Barwick , Tyler Lawson This is my paper · ORCID
classification math.KTmath.AT
keywords k-theorylocalizationregularityringspectrastructuredalgebraicanalogue
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We identify a regularity property for structured ring spectra, and with it we prove a natural analogue of Quillen's localization theorem for algebraic K-theory in this setting.

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  1. Residual regularity in tensor triangular geometry

    math.CT 2026-05 unverdicted novelty 6.0 of 10

    Introduces residual regularity for tensor triangulated categories, proves descent/ascent under finite separable extensions, and classifies all finite groups with residually regular derived permutation module categories.

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