Ajda Fošner (2014)
Colloquium Mathematicae
Let n ≥ 3 be a positive integer. We study symmetric skew n-derivations of prime and semiprime rings and prove that under some certain conditions a prime ring with a nonzero symmetric skew n-derivation has to be commutative.
G. Birkenmeier, H. Heatherly, E. Lee (1994)
Monatshefte für Mathematik
John Dauns (1978)
Journal für die reine und angewandte Mathematik
V. De Filippis, O. M. Di Vincenzo (1999)
Rendiconti del Seminario Matematico della Università di Padova
Booth, G.L. (2005)
Beiträge zur Algebra und Geometrie
Martin Lorenz (1978)
Mathematische Zeitschrift
De Filippis, V. (2006)
International Journal of Mathematics and Mathematical Sciences
Gerhard O. Michler (1973)
Publications du Département de mathématiques (Lyon)
Ancel C. Mewborn (1971)
Mathematische Zeitschrift
Daif, Mohamad Nagy, Bell, Howard E. (1992)
International Journal of Mathematics and Mathematical Sciences
Dhara, Basudeb (2010)
International Journal of Mathematics and Mathematical Sciences
Vincenzo De Filippis (2001)
Rendiconti del Seminario Matematico della Università di Padova
Basudeb Dhara, R. K. Sharma (2009)
Rendiconti del Seminario Matematico della Università di Padova
Otto Kerner (1979)
Journal für die reine und angewandte Mathematik
Michał Jaegermann, Jan Krempa (1972)
Fundamenta Mathematicae
B. Felzenszwalb, P. Misso (1985)
Rendiconti del Seminario Matematico della Università di Padova
Alexander Abian (1975)
Matematický časopis
Kamil Kular (2014)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
We give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions
Zhang, Jule, Du, Xianneng (1994)
International Journal of Mathematics and Mathematical Sciences
Firat, A. (2006)
Sibirskij Matematicheskij Zhurnal