Radicals and generalizations of derivations

Cojuhari Elena; Gardner Barry

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956

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2020-10-07 11:27

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512.664+517.518.86 (1)

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Analiză (301)

SM ISO690:2012

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

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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

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<dc:creator>Cojuhari, E.</dc:creator>
<dc:creator>Gardner, B.</dc:creator>
<dc:date>2017-11-08</dc:date>
<dc:description xml:lang='en'><p>By results of Slin&rsquo;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.</p></dc:description>
<dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 84 (2) 54-65</dc:source>
<dc:subject>Radical</dc:subject>
<dc:subject>derivation</dc:subject>
<dc:subject>higher derivation</dc:subject>
<dc:subject>locally nilpotent</dc:subject>
<dc:subject>nil</dc:subject>
<dc:title>Radicals and generalizations of derivations</dc:title>
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