Abstract
We introduce the notion of domain for Lie algebras, discuss when the free amalgamated Lie product of two domains is a domain again, classify commuting elements in the free amalgamated product of two Lie algebras and describe the center of this product.
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Chirkov, I.V., Shevelin, M.A. Zero Divisors in Amalgamated Free Products of Lie Algebras. Siberian Mathematical Journal 45, 188–195 (2004). https://doi.org/10.1023/B:SIMJ.0000013024.45580.e9
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DOI: https://doi.org/10.1023/B:SIMJ.0000013024.45580.e9