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