Engel’s Theorem and Lie’s Theorem

2006 ◽  
pp. 45-52
Author(s):  
Karin Erdmann ◽  
Mark J. Wildon
Keyword(s):  
Engel’S Theorem

A strong constructive version of engel's theorem

1994 ◽  
Vol 22 (4) ◽  
pp. 1115-1125
Author(s):  
Stephen Merrin
Keyword(s):  
Constructive Version ◽  
Engel’S Theorem

Engel’s theorem for malcev superalgebras

1994 ◽  
Vol 22 (14) ◽  
pp. 5689-5701 ◽  
Author(s):  
Helena Albuquerque ◽  
Alberto Elduque
Keyword(s):  
Engel’S Theorem

ON NILPOTENT LEIBNIZ n-ALGEBRAS

2012 ◽  
Vol 11 (03) ◽  
pp. 1250062 ◽  
Author(s):  
L. M. CAMACHO ◽  
J. M. CASAS ◽  
J. R. GÓMEZ ◽  
M. LADRA ◽  
B. A. OMIROV
Keyword(s):  
Finite Dimensional ◽  
Engel’S Theorem

We study the nilpotency of Leibniz n-algebras related with the adapted version of Engel's theorem to Leibniz n-algebras. We also deal with the characterization of finite-dimensional nilpotent complex Leibniz n-algebras.

scholarly journals Engel’s Theorem for Generalized Lie Algebras

2008 ◽  
Vol 13 (1) ◽  
pp. 69-77 ◽  
Author(s):  
Mikhail Kochetov ◽  
Oana Radu
Keyword(s):  
Lie Algebras ◽  
Engel’S Theorem ◽  
Generalized Lie Algebras

scholarly journals Nilpotency of the Ordinary Lie-algebra of an n-Lie Algebra

2017 ◽  
Vol 9 (2) ◽  
pp. 79
Author(s):  
Come Chancel Likouka
Keyword(s):  
Lie Algebra ◽  
Lie Algebras ◽  
Engel’S Theorem

In this paper, we generalize to n-Lie algebras a corollary of the well-known Engel's theorem which offers some justification for the terminology "nilpotent" and we construct a nilpotent ordinary Lie algebra from a nilpotent n-Lie algebra.

scholarly journals Jacobson’s refinement of Engel’s theorem for Leibniz algebras

2011 ◽  
Vol 4 (3) ◽  
pp. 293-296 ◽  
Author(s):  
Lindsey Bosko ◽  
Allison Hedges ◽  
John Hird ◽  
Nathaniel Schwartz ◽  
Kristen Stagg
Keyword(s):  
Leibniz Algebras ◽  
Engel’S Theorem

scholarly journals On Engel's Theorem for Leibniz Algebras

2012 ◽  
Vol 40 (4) ◽  
pp. 1388-1389 ◽  
Author(s):  
Donald W. Barnes
Keyword(s):  
Leibniz Algebras ◽  
Engel’S Theorem

scholarly journals Engel’s theorem for a class of algebras

1983 ◽  
Vol 107 (1) ◽  
pp. 245-249
Author(s):  
Ernest Stitzinger
Keyword(s):  
Engel’S Theorem

scholarly journals The Cultural Psychological Motivations and Strategies for theDevelopment of Cultural Industry: An Interpretation of Social CulturalPsychology Based on the Engel's Theorem

2020 ◽  
Vol 1 (1) ◽  
Author(s):  
Jianing Chen
Keyword(s):  
Cultural Psychology ◽  
Psychological State ◽  
Cultural Industry ◽  
The Social ◽  
Creative Workers ◽  
Market Needs ◽  
Healthy Growth ◽  
Social Market ◽  
Engel’S Theorem ◽  
The Masses

The cultural industry is an industry that takes culture and creativity as the core of product design, faces the masses, and takes the cultural identity of the masses and the cultural and psychological characteristics of social groups as reference factors for marketing and development. The key to its success lies in its social and cultural psychology. Perception and use. And Engel’s theorem is a typical theory that reflects the economic and cultural level of the country and local people and the psychological state of needs. The analysis of cultural industries based on it can also help contemporary cultural creative workers to more intuitively understand the social market needs and maintain the cultural industry healthy growth.

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