The supremum of the difference between the big and little finitistic dimensions is infinite
Author: Sverre O. Smalø
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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- B. Zimmermann Huisgen, Homological domino effect and the first finitistic dimension conjecture, Invent. Math, 108 (1992), 369-383.
- 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.
Sverre O. Smalø
Affiliation: Department of Mathematics, Lade, The Norwegian University for Science and Technology, 7034 Trondheim, Norway
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