The supremum of the difference between the big and little finitistic dimensions is infinite
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- by Sverre O. Smalø PDF
- Proc. Amer. Math. Soc. 126 (1998), 2619-2622 Request permission
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 $n$.References
- Birge Zimmermann-Huisgen, Homological domino effects and the first finitistic dimension conjecture, Invent. Math. 108 (1992), no. 2, 369–383. MR 1161097, DOI 10.1007/BF02100610
- Birge Zimmermann Huisgen, The finitistic dimension conjectures—a tale of $3.5$ decades, Abelian groups and modules (Padova, 1994) Math. Appl., vol. 343, Kluwer Acad. Publ., Dordrecht, 1995, pp. 501–517. MR 1378224
Additional Information
- Sverre O. Smalø
- Affiliation: Department of Mathematics, Lade, The Norwegian University for Science and Technology, 7034 Trondheim, Norway
- Email: sverresm@math.ntnu.no
- 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 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2619-2622
- MSC (1991): Primary 16E10, 16G10, 16G20, 16P10
- DOI: https://doi.org/10.1090/S0002-9939-98-04409-8
- MathSciNet review: 1452828