Abstract.
In this paper we show that a finite nilpotent ring that is not a zero-ring cannot admit a natural duality. In fact, every finite ring having a nilpotent subring (which is nilpotent of class ≥ 2) is not dualizable.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received October 28, 1998; accepted in final form July 8, 1999.
Rights and permissions
About this article
Cite this article
Szabó, C. Finite nilpotent rings are not dualizable. Algebra univers. 42, 293–298 (1999). https://doi.org/10.1007/s000120050004
Issue Date:
DOI: https://doi.org/10.1007/s000120050004