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On the product by generators of characteristically nilpotent Lie S-algebras

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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

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


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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
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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