Lie derivations on trivial extension algebras
classification
🧮 math.RA
math.OA
keywords
somealgebrasderivationderivationsextensiontrivialalgebracenter
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In this paper we provide some conditions under which a Lie derivation on a trivial extension algebra is proper, that is, it can be decomposed into the sum of a derivation and a center valued map. We extend some known results on the properness of Lie derivations of triangular algebras. Some illuminating examples are also included.
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