INVARIANCE OF PRIMITIVE IDEALS BY Φ-DERIVATIONS ON BANACH ALGEBRAS

Shirin Hejazian; Ali Reza Janfada

JOURNAL ARTICLE

INVARIANCE OF PRIMITIVE IDEALS BY Φ-DERIVATIONS ON BANACH ALGEBRAS

Year: 2009 Journal: Taiwanese Journal of Mathematics Vol: 13 (4)Pages: 1181-1187 Publisher: Mathematical Society of the Republic of China (Taiwan)

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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..

Keywords:

Mathematics Ideal (ethics) Nilpotent Pure mathematics Invariant (physics) Banach algebra Algebra over a field Discrete mathematics Banach space

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Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Functional Equations Stability Results

Physical Sciences → Mathematics → Applied Mathematics

Advanced Differential Equations and Dynamical Systems

Physical Sciences → Mathematics → Geometry and Topology

INVARIANCE OF PRIMITIVE IDEALS BY Φ-DERIVATIONS ON BANACH ALGEBRAS

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