Test rank of an abelian product of a free Lie algebra and a free abelian Lie algebra

Let F be a free Lie algebra of rank n ≥ 2 and A be a free abelian Lie algebra of rank m ≥ 2. We prove that the test rank of the abelian product F × A is m . Morever we compute the test rank of the algebra .

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Bibliographische Detailangaben
Veröffentlicht in:	Proceedings of the Indian Academy of Sciences. Mathematical sciences 2011-08, Vol.121 (3), p.291-300
Hauptverfasser:	EKICI, NAIME, ÖĞÜŞLÜ, NAZAR ŞAHIN
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Let F be a free Lie algebra of rank n ≥ 2 and A be a free abelian Lie algebra of rank m ≥ 2. We prove that the test rank of the abelian product F × A is m . Morever we compute the test rank of the algebra .
ISSN:	0253-4142 0973-7685
DOI:	10.1007/s12044-011-0033-8