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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the spectral sequence constructors of Guichardet and Stefan
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by Donald W. Barnes PDF
Trans. Amer. Math. Soc. 355 (2003), 2755-2769 Request permission

Abstract:

The concept of a spectral sequence constructor is generalised to Hopf Galois extensions. The spectral sequence constructions that are given by Guichardet for crossed product algebras are also generalised and shown to provide examples. It is shown that all spectral sequence constructors for Hopf Galois extensions construct the same spectral sequence.
References
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Additional Information
  • Donald W. Barnes
  • Affiliation: 1 Little Wonga Road, Cremorne NSW 2090, Australia
  • Email: donb@netspace.net.au
  • Received by editor(s): April 30, 2001
  • Published electronically: February 25, 2003
  • Additional Notes: This work was done while the author was an Honorary Associate of the School of Mathematics and Statistics, University of Sydney
  • © Copyright 2003 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 355 (2003), 2755-2769
  • MSC (2000): Primary 18G40, 16W30; Secondary 16E40
  • DOI: https://doi.org/10.1090/S0002-9947-03-03270-7
  • MathSciNet review: 1975398