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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Examples of ungradable algebras


Authors: Th. Belzner, W. D. Burgess, K. R. Fuller and R. Schulz
Journal: Proc. Amer. Math. Soc. 114 (1992), 1-4
MSC: Primary 16P10; Secondary 16W50
MathSciNet review: 1062382
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1062382-5
PII: S 0002-9939(1992)1062382-5
Keywords: Graded algebras, ungradable algebras, finite global dimension
Article copyright: © Copyright 1992 American Mathematical Society