- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:48
Rendiconti del Seminario Matematico della Università di Padova
Rend. Sem. Mat. Univ. Padova
RSMUP
0041-8994
2240-2926
General
10.4171/RSMUP
http://www.ems-ph.org/doi/10.4171/RSMUP
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2013)
125
2011
0
Commutativity of *-Prime Rings with Generalized Derivations
Mohammad
Ashraf
Aligarh Muslim University, ALIGARH, INDIA
Almas
Khan
Aligarh Muslim University, ALIGARH, INDIA
Let R be a 2-torsion free ∗-prime ring and F be a generalized derivation of R with associated derivation d. If U is a ∗-Lie ideal of R then in the present paper, we shall show that U ⊆ Z(R) if R admits a generalized derivation F (with associated derivation d) satisfying any one of the properties: (i) F[u,v]=[F(u),v], (ii) F(uov)=F(u)ov, (iii) F[u,v]=[F(u),v]+ [d(v),u], (iv) F(uov)=F(u)ov+ d(v)ou, (v) F(uv)±uv=0 and (vi) d(u)F(v)±uv=0 for all u,v ∈ U.
General
71
79
10.4171/RSMUP/125-5
http://www.ems-ph.org/doi/10.4171/RSMUP/125-5