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IMI/Publicaţii/BASM/Ediţii/BASM n.2(84), 2017/

Radicals and generalizations of derivations

Authors: Cojuhari Elena, B. J. Gardner

Abstract

By results of Slin'ko and of Anderson, the locally nilpotent and nil radicals of algebras over a field of characteristic 0 are preserved by derivations. This note deals with radical preservation by various generalizations of derivations.

E. P. Cojuhari
Institute of Mathematics and Computer Science
5 Academiei St, MD 2028 Chisinau
Moldova
Department of Mathematics
Technical University of Moldova
168 Stefan cel Mare Blvd, MD 2004 Chisinau
Moldova
E-mail:

B. J. Gardner
Discipline of Mathematics
University of Tasmania PB 37
Hobart TAS 7001, Australia
E-mail:

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