Excellent rings in transchromatic homotopy theory

Tobias Barthel, Nathaniel Stapleton

Research output: Contribution to journalArticlepeer-review


The purpose of this note is to verify that several basic rings appearing in transchromatic homotopy theory are Noetherian excellent normal domains and thus amenable to standard techniques from commutative algebra. In particular, we show that the coefficients of iterated localizations of Morava E-theory at the Morava K-theories are normal domains and also that the coefficients in the transchromatic character map for a fixed group form a normal domain.

Original languageEnglish
Pages (from-to)209-218
Number of pages10
JournalHomology, Homotopy and Applications
Issue number1
StatePublished - 2018

Bibliographical note

Publisher Copyright:
© 2018, International Press.


  • Chromatic homotopy theory
  • Excellent ring
  • Lubin-Tate theory
  • Morava E-theory

ASJC Scopus subject areas

  • Mathematics (miscellaneous)


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