Preradicals of associative algebras and their connections with preradicals of modules

Trends in Mathematics/ Birkchäuser, Modules and Comodules (2008), 293-225


We study preradicals on a universal class 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 proprieties of the Jacobson radical