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Algebra i logika, 2008, Volume 47, Number 4, Pages 475–490 (Mi al369)  
This article is cited in 4 scientific papers (total in 4 papers)

Noetherianness of wreath products of Abelian Lie algebras with respect to equations of universal enveloping algebra

N. S. Romanovskiia, I. P. Shestakovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Universidade de São Paulo, Instituto de Matemática e Estatística
Full-text PDF (201 kB) Citations (4)
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Abstract: It is proved that a wreath product of two Abelian finite-dimensional Lie algebras over a field of characteristic zero is Noetherian w.r.t. equations of a universal enveloping algebra. This implies that an index 2 soluble free Lie algebra of finite rank, too, has this property.
Keywords: Abelian finite-dimensional algebra, Noetherianness w.r.t. equations of universal enveloping algebra.
Received: 09.01.2008
Revised: 12.02.2008
English version:
Algebra and Logic, 2008, Volume 47, Issue 4, Pages 269–278
DOI: https://doi.org/10.1007/s10469-008-9018-9
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: N. S. Romanovskii, I. P. Shestakov, “Noetherianness of wreath products of Abelian Lie algebras with respect to equations of universal enveloping algebra”, Algebra Logika, 47:4 (2008), 475–490; Algebra and Logic, 47:4 (2008), 269–278
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    References:57
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