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

Author(s): Sverre O. Smal\o
Journal: Proc. Amer. Math. Soc. 126 (1998), 2619-2622.
MSC (1991): Primary 16E10, 16G10, 16G20, 16P10
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Abstract: For each natural number , 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 .

References:

1.: B. Zimmermann Huisgen, Homological domino effect and the first finitistic dimension conjecture, Invent. Math, 108 (1992), 369-383. MR 93i:16016
2.: B. Zimmermann Huisgen, The Finitistic Dimension Conjectures-A Tale of 3.5 Decades, in; Abelian Groups and Modules, Proceedings of the Padova Conference 1994, A. Facchini and C. Menini, eds., Kluwer 1995. MR 97a:16018

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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: 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
Copyright of article: Copyright 1998, American Mathematical Society


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