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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.

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An isomorphism lemma for graded rings
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by Jason Bell and James J. Zhang PDF
Proc. Amer. Math. Soc. 145 (2017), 989-994 Request permission

Abstract:

Let $A$ and $B$ be two connected graded algebras finitely generated in degree one. If $A$ is isomorphic to $B$ as ungraded algebras, then they are also isomorphic to each other as graded algebras.
References
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Additional Information
  • Jason Bell
  • Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada
  • MR Author ID: 632303
  • Email: jpbell@uwaterloo.ca
  • James J. Zhang
  • Affiliation: Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195
  • MR Author ID: 314509
  • Email: zhang@math.washington.edu
  • Received by editor(s): September 29, 2015
  • Received by editor(s) in revised form: May 3, 2016
  • Published electronically: September 8, 2016
  • Additional Notes: The first author was supported by NSERC Discovery Grant 326532-2011
    The second author was supported by the U.S. National Science Foundation (grant Nos. DMS 0855743 and DMS 1402863)
  • Communicated by: Irena Peeva
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 989-994
  • MSC (2010): Primary 16W20, 16W50
  • DOI: https://doi.org/10.1090/proc/13276
  • MathSciNet review: 3589298