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

 

The supremum of the difference between the big and little finitistic dimensions is infinite


Author: Sverre O. Smal\o{}
Journal: Proc. Amer. Math. Soc. 126 (1998), 2619-2622
MSC (1991): Primary 16E10, 16G10, 16G20, 16P10
MathSciNet review: 1452828
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Abstract: For each natural number $n$, an example of a finite dimensional algebra $\Lambda _n$ is given, which has left little finitistic dimension equal to 1 and left big finitistic dimension equal to $n$.


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Additional Information

Sverre O. Smal\o{}
Affiliation: Department of Mathematics, Lade, The Norwegian University for Science and Technology, 7034 Trondheim, Norway
Email: sverresm@math.ntnu.no

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04409-8
PII: S 0002-9939(98)04409-8
Received by editor(s): May 22, 1996
Received by editor(s) in revised form: February 24, 1997
Additional Notes: Supported by the Norwegian Research Council and by the U.S.-Norway Fulbright Foundation.
Communicated by: Ken Goodearl
Article copyright: © Copyright 1998 American Mathematical Society