Free Fibonacci algebras

Publisher: Cambridge University Press

E-ISSN: 1755-1633|40|2|235-241

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.40, Iss.2, 1989-10, pp. : 235-241

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Abstract

Fibonacci varieties were introduced by one of us in 1978 and a natural generalisation was studied shortly afterwards. We carry this investigation one stage further by giving a description of the free objects in these varieties. This is done in terms of the n-abelian groups of Levi.