Publication: On the product by generators of characteristically nilpotent Lie S-algebras
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Publication Date
2003-11-01
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Elsevier
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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.
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