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On the nilpotency and decomposition of Lie-type algebras |
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| Authors: | N A Koreshkov |
| Institution: | (1) Kazan State University, Russia |
| Abstract: | In the paper, an analog of the Engel theorem for graded algebras admitting a Lie-type module is proved. Moreover, it is shown that every semisimple algebra of associative type with ordered grading and one-dimensional grading subspaces is the direct sum of two-sided ideals that are simple algebras. |
| Keywords: | algebra of associative type semisimple algebra graded algebra Engel theorem Lie-type module radical totally ordered group |
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