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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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Isomorphisms of graded path algebras
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by Jason Gaddis PDF
Proc. Amer. Math. Soc. 149 (2021), 1395-1403 Request permission

Abstract:

We prove that if two path algebras with homogeneous relations are isomorphic as algebras, then they are isomorphic as graded path algebras. This extends a result by Bell and Zhang in the connected case.
References
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Additional Information
  • Jason Gaddis
  • Affiliation: Department of Mathematics, Miami University, Oxford, Ohio 45056
  • MR Author ID: 1073111
  • ORCID: 0000-0003-2087-2829
  • Email: gaddisj@miamioh.edu
  • Received by editor(s): September 17, 2018
  • Received by editor(s) in revised form: June 17, 2019, July 19, 2019, September 10, 2019, November 11, 2019, March 17, 2020, April 24, 2020, and June 29, 2020
  • Published electronically: February 11, 2021
  • Communicated by: Jerzy Weyman
  • © Copyright 2021 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 1395-1403
  • MSC (2020): Primary 16W20, 16W50
  • DOI: https://doi.org/10.1090/proc/15425
  • MathSciNet review: 4242299