Identities with generalized derivations in semiprime rings
Abstract: Let R be a semiprime ring. An additive mapping F: R → R is called a generalized derivation of R if there exists a derivation d: R → R such that F (xy) = F (x) y + xd (y) holds, for all x, y ∈ R. The objective of the present paper is to study the following situations: (1) [d (x), F (y)] = ±[x, y]; (2) [d (x), F (y)] = ±xοy; (3) [d (x), F (y)] = 0; (4) d (x)οF (y) = ±xοy; (5) d (x)οF (y) = ±[x, y]; (6) d (x)οF (y) = 0; (7) d (x) F (y)±xy ∈ Z (R), for all x, y in some appropriate subset of R.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Identities with generalized derivations in semiprime rings ; volume:46 ; number:3 ; year:2013 ; pages:453-460 ; extent:8
Demonstratio mathematica ; 46, Heft 3 (2013), 453-460 (gesamt 8)
- Urheber
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Dhara, Basudeb
Ali, Shakir
Pattanayak, Atanu
- DOI
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10.1515/dema-2013-0471
- URN
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urn:nbn:de:101:1-2411181441440.888932051240
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
- 15.08.2025, 07:20 MESZ
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Beteiligte
- Dhara, Basudeb
- Ali, Shakir
- Pattanayak, Atanu
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