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