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The Nilpotency Properties of the Leibniz Algebra Mn(C)D |
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| Authors: | Ayupov Sh. A. Omirov B. A. |
| Abstract: | We study the nilpotency properties of the Leibniz algebras constructed by means of D-mappings on the algebra of complex square matrices Mn(C). In particular, we obtain a criterion for nilpotency of these algebras in terms of the properties of a D-mapping. We prove also that the Leibniz algebras under consideration cannot be simple. |
| Keywords: | Leibniz algebra associative algebra D-mapping nilpotency simple Leibniz algebra |
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