Nilpotency of n-tuple Lie algebras and associative n-tuple algebras

Nilpotency of n-tuple Lie algebras and associative n-tuple algebras

We obtain conditions for the nilpotency of finite-dimensional n -tuple Lie algebras and finite-dimensional associative n -tuple algebras. The established conditions are analogous to theorems of Engel and Wedderburn for Lie algebras and associative algebras.

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Veröffentlicht in:Russian mathematics 2010-02, Vol.54 (2), p.28-32
1. Verfasser: Koreshkov, N. A.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We obtain conditions for the nilpotency of finite-dimensional n -tuple Lie algebras and finite-dimensional associative n -tuple algebras. The established conditions are analogous to theorems of Engel and Wedderburn for Lie algebras and associative algebras.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X10020040