Free actions of semiprime rings with involution induced a derivation

• Autorzy: Vukman J.
• Języki publikacji: EN

Abstrakty

EN

Let R be an associative ring. An element a is an element of R is said to be dependent of a mapping F : R -> R in case F (x) a = ax holds for all x is an element of R. A mapping F : R -> R is called a free action in case zero is the only dependent element of F. In this paper free actions of semiprime *- rings induced by a derivation are considered. We prove, for example, that in case we have a derivation D : R -> R, where R is a semiprime *-ring, then the mapping F defined by F(x) = D(x*) + D(x)*,x is an element of R, is a free action. It is also proved that any Jordan *-derivation on a 2-torsion free semiprime *-ring is a free action.

Słowa kluczowe

EN

automorphism; prime ring; semiprime ring; involution; Jordan derivation; dependent element; free action

PL

automorfizm; elementy zależne; pierścienie pierwsze; pochodna Jordana

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 4
• Strony: 811--817
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Vukman J.

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

Bibliografia

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