TY - JOUR
AU - Paul, Akhil Chandra
AU - Chakraborty, Sujoy
PY - 2016/06/28
Y2 - 2024/06/22
TI - Generalized Derivations Acting as Homomorphisms and Anti-Homomorphisms on Lie Ideals of Prime Rings
JF - GANIT: Journal of Bangladesh Mathematical Society
JA - GANIT: J. Bangladesh Math. Soc.
VL - 35
IS - 0
SE - Articles
DO - 10.3329/ganit.v35i0.28570
UR - https://banglajol.info/index.php/GANIT/article/view/28570
SP - 73-77
AB - <p>Let <em>U </em>be a non-zero square closed Lie ideal of a 2-torsion free prime ring <em>R </em>and <em>f </em>a generalized derivation of <em>R </em>with the associated derivation <em>d </em>of <em>R</em>. If <em>f </em>acts as a homomorphism and as an anti-homomorphism on <em>U</em>, then we prove that d = 0 or <em>U</em> Z(R), the centre of <em>R</em>.</p><p>GANIT <em>J. Bangladesh Math. Soc.</em>Vol. 35 (2015) 73-77</p>
ER -