Residual finiteness of color Lie superalgebras
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- by Yu. A. Bahturin and M. V. Zaicev PDF
- Trans. Amer. Math. Soc. 337 (1993), 159-180 Request permission
Abstract:
A (color) Lie superalgebra $L$ over a field $K$ of characteristic $\ne 2, 3$ is called residually finite if any of its nonzero elements remains nonzero in a finite-dimensional homomorphic image of $L$. In what follows we are looking for necessary and sufficient conditions under which all finitely generated Lie superalgebras satisfying a fixed system of identical relations are residually finite. In the case $\operatorname {char}\;K = 0$ we show that a variety $V$ satisfies this property if and only if $V$ does not contain all center-by-metabelian algebras and every finitely generated algebra of $V$ has nilpotent commutator subalgebra.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 337 (1993), 159-180
- MSC: Primary 17A70; Secondary 17B70
- DOI: https://doi.org/10.1090/S0002-9947-1993-1087050-0
- MathSciNet review: 1087050