Abstract
We show that in certain cases a $\Phi$-derivation on a Banach algebra with a nilpotent separating ideal leaves each primitive ideal invariant. We also obtain some sufficient conditions for the separating ideal of a $\Phi$-derivation to be nilpotent.
Citation
S. Hejazian S. Hejazian. A. R. Janfada A. R. Janfada. "INVARIANCE OF PRIMITIVE IDEALS BY Φ-DERIVATIONS ON BANACH ALGEBRAS." Taiwanese J. Math. 13 (4) 1181 - 1187, 2009. https://doi.org/10.11650/twjm/1500405500
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