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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Examples of ungradable algebras
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by Th. Belzner, W. D. Burgess, K. R. Fuller and R. Schulz PDF
Proc. Amer. Math. Soc. 114 (1992), 1-4 Request permission

Abstract:

Examples are presented of finite-dimensional algebras that admit no positive grading (that is, a nontrivial grading indexed by the natural numbers). Some of these examples have finite global dimension (they are even quasihereditary), and yield a negative answer to a question of Anick and Green.
References
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 1-4
  • MSC: Primary 16P10; Secondary 16W50
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1062382-5
  • MathSciNet review: 1062382