E. P. Cojuhari, B. J. Gardner, “Radicals and generalizations of derivations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, Number 2,Pages <nobr>54

Research articles

Radicals and generalizations of derivations

E. P. Cojuhari^ab, B. J. Gardner^c

^a Institute of Mathematics and Computer Science, 5 Academiei St, MD 2028 Chişinău, Moldova
^b Department of Mathematics, Technical University of Moldova, 168 Ştefan cel Mare Blvd, MD 2004 Chişinău, Moldova
^c Discipline of Mathematics, University of Tasmania, PB 37 Hobart TAS 7001, Australia

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.

Keywords and phrases: radical, derivation, higher derivation, locally nilpotent, nil.

MSC: 16N80, 16W55

Received: 10.12.2016

Language: English