N ov 2 00 5 Derivation Algebras of Centerless Perfect Lie Algebras Are Complete
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چکیده
It is proved that the derivation algebra of a centerless perfect Lie algebra of arbitrary dimension over any field of arbitrary characteristic is complete and that the holomorph of a centerless perfect Lie algebra is complete if and only if its outer derivation algebra is centerless. Key works: Derivation, complete Lie algebra, holomorph of Lie algebra Mathematics Subject Classification (1991): 17B05
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تاریخ انتشار 2005