Results on Lie ideals of prime rings with homoderivations
DOI:
https://doi.org/10.17398/2605-5686.38.2.125Palabras clave:
prime ring, Lie ideal, homoderivation, commutativityResumen
Let R be a prime ring of characteristic not 2 and U be a noncentral square closed Lie ideal of R. An additive mapping H on R is called a homoderivation if H(xy) = H(x)H(y)+H (x) y+xH(y) for all x, y ∈ R. In this paper we investigate homoderivations satisfying certain differential identities on square closed Lie ideals of prime rings.
Descargas
Referencias
E.F. Alharfie, N.M. Muthana, The commutativity of prime rings with homoderivations, International Journal of Advanced and Applied Sciences 5 (5) (2018), 79 – 81.
M. Ashraf, N. Rehman, On derivations and commutativity in prime rings, East-West J. Math. 3 (1) (2001), 87 – 91.
H.E. Bell, M.N. Daif, On commutativity and strong commutativity-preserving maps, Canad. Math. Bull. 37 (1994), 443 – 447.
J. Bergen, I.N. Herstein, J.W. Kerr, Lie ideals and derivation of prime rings, J. Algebra 71 (1981), 259 – 267.
M.M. El Sofy, “Rings with some kinds of mappings”, M.Sc. Thesis, Cairo University, Branch of Fayoum, 2000.
Ö. Gölbaşi, Homoderivations on Lie ideals of prime rings, to appear in Int. J. Math. Stat.
A. Melaibari, N. Muthana, A. Al-Kenani, Homoderivations on Rings, Gen. Math. Notes 35 (1) (2016), 1 – 8.
E.C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093 – 1100.
Descargas
Publicado
Número
Sección
Licencia
Derechos de autor 2023 The authors
Esta obra está bajo una licencia Creative Commons Reconocimiento-NoComercial 3.0 Unported.
