This article is cited in 12 papers

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

N. A. Koreshkov

Chair of Algebra and Mathematical Logic, Kazan State University, Kazan, Russia

Abstract: 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.

Keywords: $n$-multiple Lie algebra, associative $n$-multiple algebra, nilpotency.

UDC: 512.554

Received: 01.11.2007

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:2, 28–32

Bibliographic databases:

• 
• 
•