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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, Number 2, Pages 54–65 (Mi basm448)  

Research articles

Radicals and generalizations of derivations

E. P. Cojuhariab, B. J. Gardnerc

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
References:
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.
Received: 10.12.2016
Bibliographic databases:
Document Type: Article
MSC: 16N80, 16W55
Language: English
Citation: E. P. Cojuhari, B. J. Gardner, “Radicals and generalizations of derivations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, no. 2, 54–65
Citation in format AMSBIB
\Bibitem{CojGar17}
\by E.~P.~Cojuhari, B.~J.~Gardner
\paper Radicals and generalizations of derivations
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2017
\issue 2
\pages 54--65
\mathnet{http://mi.mathnet.ru/basm448}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3723497}
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