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Communications in Algebra Volume 30, 2002 - Issue 4

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Original Articles

REDUCED n-LIE ALGEBRAS

P. Saraiva Universidade de Coimbra, Coimbra, 3004-512, Portugal

Pages 2057-2074 | Received 01 Oct 2000, Published online: 01 Sep 2006

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https://doi.org/10.1081/AGB-120013231

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REFERENCES

Pozhidaev , A.P. n-Ary Malcev Algebras. Algebra and Logic, to appear
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Filippov , V.T. 1985 . n-Lie algebras . Sib. Mat. Zh. , 26 ( 6 ) : 126 – 140 .
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Pozhidaev , A.P. 1999 . Simple n-Lie algebras . Algebra and Logic , 38 ( 3 ) : 181 – 192 .
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Kasymov , Sh.M. 1987 . To the Theory of n-Lie Algebras . Algebra and Logic , 26 ( 3 ) : 277 – 297 .
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Wuxue, Ling. On the Structure of n-Lie Algebras. Thesis. Siegen Univ.-GHS-Siegen, iv, 1993, 1–61.
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Pozhidaev , A.P. 1998 . Monomial n-Lie algebras . Algebra and Logic , 37 ( 5 ) : 542 – 567 .
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This lemma was suggested by A.P. Pozhidaev.
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(observe that if , then and can also be represented this way).
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