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Artigo Revisado por pares
BIBTEX RIS

Camina Lie algebras

2017; World Scientific; Volume: 11; Issue: 05 Linguagem: Inglês

10.1142/s1793557118500638

ISSN

1793-5571

Autores

S. Sheikh-Mohseni, Farshid Saeedi,

Tópico(s)

Algebraic structures and combinatorial models

Resumo

Let [Formula: see text] be a Lie algebra and [Formula: see text] be a proper ideal of [Formula: see text]. Then [Formula: see text] is called a Camina pair if [Formula: see text] for all [Formula: see text]. Also, [Formula: see text] is called a Camina Lie algebra if [Formula: see text] is a Camina pair. In this paper, we give some properties of Camina Lie algebras. Moreover, we show that a nilpotent Camina Lie algebra of finite dimension over an algebraically closed field is nilpotent with nilindex at most [Formula: see text].

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