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Preradicals of Associative Algebras and their Connections with Preradicals of Modules

  • M. Luísa Galvão
Part of the Trends in Mathematics book series (TM)

Abstract

We study preradicals on an universal class \( \mathcal{D} \) of algebras and we present a process to construct preradicals over algebras from certain families of preradicals over modules. We also define a torsion Plotkin radical on the class of all associative algebras which satisfies dual properties of the Jacobson radical.

Keywords

Preradical socle radical 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2008

Authors and Affiliations

  • M. Luísa Galvão
    • 1
  1. 1.Centro de Álgebra da Universidade de LisboaLisboaPortugal

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