PERMUTING TRIDERIVATIONS OF PRIME AND SEMIPRIME RINGS Page 1 Miskolc
Mathematical Notes HU e-ISSN 1787-2413 Vol. 18 (2017), No. 1, pp. 489–497 DOI …

Let K be a 2-torsion free unital ring and D (K) be dihedron algebra over K. In the present
article, we prove that every Lie triple derivation of D (K) can be written as the sum of the Lie …

Let R be a ring and U= 0 be a Lie ideal of R. A bi-additive symmetric map B (.,.): R× R→ R is
called symmetric bi-derivation if, for any y∈ R, the map x↦→ B (x, y) is a derivation. A …

Let n≥ 2 be a fixed integer and A be a C∗-algebra. A permuting n-linear map G: A n→ A is
known to be symmetric generalized n-derivation if there exists a symmetric n-derivation D: A …

Let R be a semiprime ring and L is a Lie ideal of R such that L 6Â ZR/. A map FWR! R is
called a multiplicative generalized derivation if there exists a map d WR! R such that F. xy/D …

Let R be a ring with involution and let α and β be endomorphisms of R. In this paper we
characterise generalised Jordan (α, β)-higher derivations and related maps on (semi)-prime …

Let d be a derivation of a semiprime ring R and L a nonzero Lie ideal of R. In this note, it is
proved that every noncentral squareclosed Lie ideal of R contains a nonzero ideal of R …

R, 2-torsion free bir yarıasal halka ve U, R halkasının bir merkez tarafından kapsanılmayan
kare-kapalı Lie ideali olsun. Eğer her x, y∈ R için F (xy)= F (x) y+ xd (y), koşulunu sağlayan …

LIE IDEALS AND JORDAN TRIPLE (α, β)−DERIVATIONS IN RINGS 1. Introduction
Throughout the present paper R will denote an assoc Page 1 Commun. Fac. Sci. Univ. Ank …

Let R be a 2-torsion free semiprime ring, α an automorphism and U a noncentral square-
closed Lie ideal of R. An additive mapping T: R→ R is called a left (resp. right) α-centralizer …