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Monomialn-Lie algebras

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Abstract

The classes of monomial Ω-algebras defined by multilinear and weakly multilinear maps are studied. Necessary and sufficient conditions for these algebras to be n-Lie are specified.

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Additional information

Supported by the RF Ministry of General and Vocational Education (grant for Fundamental Research in Mathematics).

Translated fromAlgebra i Logika, Vol. 37, No. 5, pp. 542–567, September–October, 1998.

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Pozhidaev, A.P. Monomialn-Lie algebras. Algebr Logic 37, 307–322 (1998). https://doi.org/10.1007/BF02671633

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  • DOI: https://doi.org/10.1007/BF02671633

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