Identities with products of (alpha, beta)-derivations on prime rings

• Autorzy: Vukman J.
• Języki publikacji: EN

Abstrakty

EN

The main purpose of this paper is to prove the following result. Let R be a noncommutative prime ring of characteristic different from two and let D and G = 0 be (\alpha, beta)-derivations of R into itself such that G commutes with alpha and beta. If [D{x), G(x)] = 0 holds for all x is an eleemnt of R then D = lambdaG where lambda is an element from the extended centroid of R.

Słowa kluczowe

EN

automorphism; prime ring; semiprime ring; derivation

PL

automorfizm; pierścienie pierwsze; znajdowanie pochodnej

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 2
• Strony: 291--298
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Vukman J.

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

Bibliografia

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