On the Adams spectral sequence for \(R\)-modules

DOI10.2140/agt.2001.1.173zbMath0970.55006arXivmath/0105079OpenAlexW2151107346MaRDI QIDQ5930537

Andrey Lazarev, Andrew Baker

Publication date: 15 May 2001

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105079

zbMATH Keywords

R ring spectrumR-moduleregular quotientS-algebra

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Adams spectral sequences (55T15)

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Cites Work

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• The localization of spectra with respect to homology
• Vector bundles and the Künneth formula
• Classifying modules over \(K\)-theory spectra
• Homotopy theory of \(A_{\infty}\) ring spectra and applications to \(MU\)-modules
• Brave new Hopf algebroids and extensions of \(MU\)-algebras
• Bockstein Operations in Morava K-Theories
• A∞ STRUCTURES ON SOME SPECTRA RELATED TO MORAVA K-THEORIES
• Products on 𝑀𝑈-modules