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Ancochea Bermúdez, José María and Campoamor Stursberg, Otto Ruttwig
(2003)
*On the product by generators of characteristically nilpotent Lie S-algebras.*
Journal of Pure and Applied Algebra, 184
(2-3).
pp. 155-164.
ISSN 0022-4049

PDF
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Official URL: http://www.sciencedirect.com/science/article/pii/S0022404903000860

## Abstract

We show that the product by generators preserves the characteristic nilpotence of Lie algebras, provided that the multiplied algebras belongs to the class of S-algebras. In particular, this shows the existence of nonsplit characteristically nilpotent Lie algebras h such that the quotient dim h−dim Z(h)=dim Z(h) is as small as wanted.

Item Type: | Article |
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Subjects: | Sciences > Mathematics > Algebra |

ID Code: | 20741 |

Deposited On: | 10 Apr 2013 14:46 |

Last Modified: | 18 Feb 2019 09:22 |

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