On alfa-derivations of prime and semiprime rings

• Autorzy: Vukman, J.
• Języki publikacji: EN

Abstrakty

EN

In this paper we investigate identities with alfa-derivations on prime and semiprime rings. We prove, for example, the following result. If D : R - R is an alfa-derivation of a 2 and 3-torsion free semiprime ring R such that [D(x},x2] = 0 holds, for all x is an element of R, then D maps R into its center. The results of this paper are motivated by the work of Thaheem and Samman [20].

Słowa kluczowe

PL

pierścienie pierwsze; półpierścienie; automorfizm; odwzorowania; pochodne

EN

automorphism; prime ring; semiprime ring; derivation; commuting mappings; centralizing mapping

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 2
• Strony: 283--290
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Vukman, J.

• Department of Mathematics, University of Maribor, PEF, Koroska 160, 2000 Maribor, Slovenia,

Bibliografia

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