Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Morphisms between two constructions of Witt vectors of non-commutative rings
HTML articles powered by AMS MathViewer

by Supriya Pisolkar PDF
Proc. Amer. Math. Soc. 148 (2020), 2835-2842 Request permission


Let $A$ be any unital associative, possibly non-commutative ring and let $p$ be a prime number. Let $E(A)$ be the ring of $p$-typical Witt vectors as constructed by Cuntz and Deninger in [J. Algebra 440 (2015), pp. 545–593] and let $W(A)$ be the abelian group constructed by Hesselholt in [Acta Math. 178 (1997), pp. 109–141] and [Acta Math. 195 (2005), pp. 55–60]. In [J. Algebra 506 (2018), pp. 379–396] it was proved that if $p=2$ and $A$ is a non-commutative unital torsion free ring, then there is no surjective continuous group homomorphism from $W(A) \to HH_0(E(A)): = E(A)/\overline {[E(A),E(A)]}$ which commutes with the Verschiebung operator and the Teichmüller map. In this paper we generalise this result to all primes $p$ and simplify the arguments used for $p=2$. We also prove that if $A$ a is a non-commutative unital ring, then there is no continuous map of sets $HH_0(E(A)) \to W(A)$ which commutes with the ghost maps.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 16S99, 13F35
  • Retrieve articles in all journals with MSC (2010): 16S99, 13F35
Additional Information
  • Supriya Pisolkar
  • Affiliation: Indian Institute of Science, Education and Research (IISER), Homi Bhabha Road, Pashan, Pune - 411008, India
  • MR Author ID: 868359
  • Email:
  • Received by editor(s): April 28, 2019
  • Received by editor(s) in revised form: November 13, 2019
  • Published electronically: March 30, 2020
  • Additional Notes: This work was supported by the SERB-MATRICS grant MTR/2018/000346.
  • Communicated by: Sarah Witherspoon
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 2835-2842
  • MSC (2010): Primary 16S99; Secondary 13F35
  • DOI:
  • MathSciNet review: 4099773