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

 

Algebras with large homological dimensions


Authors: Ellen Kirkman and James Kuzmanovich
Journal: Proc. Amer. Math. Soc. 109 (1990), 903-906
MSC: Primary 16A46; Secondary 16A64
MathSciNet review: 1027096
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Abstract: An example is given of a semiprimary ring with infinite finitistic dimension. The construction shows that the global dimensions of finite dimensional algebras of finite global dimension cannot be bounded by a function of only Loewy length and the number of nonisomorphic simple modules.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1027096-4
PII: S 0002-9939(1990)1027096-4
Keywords: Finitistic dimension, global dimension, semiprimary rings, finite dimensional algebras
Article copyright: © Copyright 1990 American Mathematical Society