Finite-Dimensional Simple Leibniz Pairs and Simple Poisson Modules |
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Authors: | Kubo Fujio |
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Institution: | (1) Department of Mathematics, Kyushu Institute of Technology, Tobata, Kitakyushu, 804, Japan |
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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. |
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Keywords: | Leibniz pairs Poisson modules noncommutative Poisson algebras |
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