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Lie Derivations of Triangular Algebras
Authors:Wai-Shun Cheung
Institution:Centro de Estruturas Lineares , Combinatórias Universidade , Lisboa Av. Prof. Gama Pinto 2, Lisboa, 1649-003, Portugal
Abstract:We investigate Lie derivations on a class of algebras called triangular algebras. In particular, we give sufficient conditions such that every Lie derivation on such an algebra <artwork name="GLMA31004ei1"> is a sum of derivation on <artwork name="GLMA31004ei2"> and a mapping from <artwork name="GLMA31004ei3"> to its centre.
Keywords:Triangular Algebra  Lei Derivation  Derivation  1991 Mathematics Subject Classifications: Primary 16w25  Secondary 15a78  17a36  17b60
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