Radicals and generalizations of derivations
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2020-10-07 11:27
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512.664+517.518.86 (1)
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COJUHARI, Elena, GARDNER, Barry. Radicals and generalizations of derivations. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 2(84), pp. 54-65. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(84) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322

Radicals and generalizations of derivations

CZU: 512.664+517.518.86
MSC 2010: 16N80, 16W55

Pag. 54-65

Cojuhari Elena12, Gardner Barry3
 
1 Institute of Mathematics and Computer Science ASM,
2 Technical University of Moldova,
3 University of Tasmania
 
 
Disponibil în IBN: 16 noiembrie 2017


Rezumat

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.

Cuvinte-cheie
Radical, derivation,

higher derivation, locally nilpotent, nil