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On the nilpotency and decomposition of Lie-type algebras.

Authors :
Koreshkov, N.
Source :
Mathematical Notes. Oct2007, Vol. 82 Issue 3/4, p321-331. 11p.
Publication Year :
2007

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*ALGEBRA
*ALGEBRAIC fields
*MATHEMATICAL analysis
*MATHEMATICAL models
*MATHEMATICS

Details

Language :
English
ISSN :
00014346
Volume :
82
Issue :
3/4
Database :
Academic Search Index
Journal :
Mathematical Notes
Publication Type :
Academic Journal
Accession number :
32853722
Full Text :
https://doi.org/10.1134/S0001434607090040
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