GENERALIZED DERIVATIONS IN RINGS ON LIE IDEALS WITH BANACH ALGEBRAS
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 11, Issue 1
Abstract
Let R be a prime ring of characteristic dierent from 2, L a non-central Lie ideal of R, and m; n xed positive integers. If R admits a generalized derivation F associated with a deviation d such that F(u)2)m -(F(u))2n ϵZ(R) for all u ϵ L, then R satises S4 , the standard identity in four variables. Moreover, we also examine the case when R is semiprime ring. Finally, as an application we obtain some range inclusion results of continuous or spectrallybounded generalized derivations on Banach algebras.
Authors and Affiliations
Mohammad Shadab Khan, NADEEM UR UR REHMAN, MOHD ARIF RAZA
Keywords
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- EP ID EP651578
- DOI 10.24297/jam.v11i1.1297
- Views 116
- Downloads 0
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