Abstract
In this paper we prove an analogue of Robinson Theorem for Lie algebras, which plays an important role to find the results connecting to the idea of nilpotency in Lie algebras. Also we find a criterion such that an extension of Lie algebras can be nilpotent. Keywords: Nilpotent Lie algebras; Non-abelian tensor product 2010 Mathematics Subject Classification: 17B30; 17B60; 17B
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