algebra universalis

, Volume 42, Issue 4, pp 293–298 | Cite as

Finite nilpotent rings are not dualizable

  • Cs. Szabó


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.


Natural Duality Finite Ring Nilpotent Ring Nilpotent Subring 
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Copyright information

© Birkhäuser Verlag Basel, 1999

Authors and Affiliations

  • Cs. Szabó
    • 1
  1. 1.Department of Algebra and Number Theory, Eótvós Loránd University, Budapest, e-mail: csaba@cs.elte.huHU

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