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Finite-Dimensional Simple Leibniz Pairs and Simple Poisson Modules
Authors:Kubo  Fujio
Institution:(1) Department of Mathematics, Kyushu Institute of Technology, Tobata, Kitakyushu, 804, Japan
Abstract:Simple modules over the Leibniz pairs are studied. Simple Poisson modules over Poisson algebras of the semisimple associative algebra structure are determined and they are nothing but simple bimodules over simple associative algebras with standard noncommutative Poisson algebra structure.
Keywords:Leibniz pairs  Poisson modules  noncommutative Poisson algebras  
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