A note on generalized (m, n)-Jordan centralizers

• Autorzy: Fošner A.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to define generalized (m, n)-Jordan centralizers and to prove that on a prime ring with nonzero center and char (R) ≠ 6mn(m+n)(m+2n) every generalized (m, n)-Jordan centralizer is a two-sided centralizer.

Słowa kluczowe

EN

prime ring; semiprime ring; left (right) centralizer; left (right) Jordan centralizer; (m, n)-Jordan centralizer; generalized (m, n)-Jordan centralizer

PL

pierścień pierwszy; półpierścień pierwszy; centralizator; centralizator Jordana

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 2
• Strony: 257--262
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Fošner A.

• Faculty of Management, University of Primorska, Cankarjeva 5, Si-6104 Koper, Slovenia

Bibliografia

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• [4] J. Cusack, Jordan derivations on semiprime rings, Proc. Amer. Math. Soc. 53 (1975), 321–324.
• [5] I. N. Herstein, Jordan derivations of prime rings, Proc. Amer. Math. Soc. 8 (1957), 1104–1110.
• [6] J. Vukman, An identity related to centralizers in semiprime rings, Comment. Math. Univ. Carolin. 40 (1999), 447–456.
• [7] J. Vukman, On (m, n)-Jordan derivations and commutativity of prime rings, Demonstratio Math. 41 (2008), 773–778.
• [8] J. Vukman, On (m, n)-Jordan centralizers in rings and algebras, Glas. Mat. 45(1) (2010), 43–53.
• [9] B. Zalar, On centralizers of semiprime rings, Comment. Math. Univ. Carolin. 32 (1991), 609–614.