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On the nilpotency and decomposition of Lie-type algebras.
- 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 :
- *ALGEBRA
*ALGEBRAIC fields
*MATHEMATICAL analysis
*MATHEMATICAL models
*MATHEMATICS
Subjects
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