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https://doi.org/10.3336/gm.48.1.06

A result concerning derivations in prime rings

Maja Fošner ; Faculty of logistics, University of Maribor, Mariborska cesta 7, 3000 Celje, Slovenia
Nina Peršin ; Prušnikova 48, 2000 Maribor, Slovenia

Puni tekst: engleski, pdf (122 KB) str. 67-79 preuzimanja: 314* citiraj
APA 6th Edition
Fošner, M. i Peršin, N. (2013). A result concerning derivations in prime rings. Glasnik matematički, 48 (1), 67-79. https://doi.org/10.3336/gm.48.1.06
MLA 8th Edition
Fošner, Maja i Nina Peršin. "A result concerning derivations in prime rings." Glasnik matematički, vol. 48, br. 1, 2013, str. 67-79. https://doi.org/10.3336/gm.48.1.06. Citirano 20.10.2021.
Chicago 17th Edition
Fošner, Maja i Nina Peršin. "A result concerning derivations in prime rings." Glasnik matematički 48, br. 1 (2013): 67-79. https://doi.org/10.3336/gm.48.1.06
Harvard
Fošner, M., i Peršin, N. (2013). 'A result concerning derivations in prime rings', Glasnik matematički, 48(1), str. 67-79. https://doi.org/10.3336/gm.48.1.06
Vancouver
Fošner M, Peršin N. A result concerning derivations in prime rings. Glasnik matematički [Internet]. 2013 [pristupljeno 20.10.2021.];48(1):67-79. https://doi.org/10.3336/gm.48.1.06
IEEE
M. Fošner i N. Peršin, "A result concerning derivations in prime rings", Glasnik matematički, vol.48, br. 1, str. 67-79, 2013. [Online]. https://doi.org/10.3336/gm.48.1.06

Sažetak
A classical result of Herstein asserts that any Jordan derivation on a prime ring of characteristic different from two is a derivation. It is our aim in this paper to prove the following result, which is in the spirit of Herstein's theorem. Let R be a prime ring with char(R)=0 or 4 < char(R), and let D:R → R be an additive mapping satisfying either the relation D(x3)=D(x2)x+x2D(x) or the relation D(x3)=D(x)x2+xD(x2) for all x R. In both cases D is a derivation.

Ključne riječi
Prime ring; semiprime ring; derivation; Jordan derivation; Jordan triple derivation; functional identity

Hrčak ID: 103272

URI
https://hrcak.srce.hr/103272

Posjeta: 521 *