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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, Number 2, Pages 54–65
(Mi basm448)
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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
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
Citation:
E. P. Cojuhari, B. J. Gardner, “Radicals and generalizations of derivations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, no. 2, 54–65
Linking options:
https://www.mathnet.ru/eng/basm448 https://www.mathnet.ru/eng/basm/y2017/i2/p54
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Statistics & downloads: |
Abstract page: | 223 | Full-text PDF : | 57 | References: | 29 |
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