Journal
SIBERIAN MATHEMATICAL JOURNAL
Volume 45, Issue 1, Pages 188-195Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1023/B:SIMJ.0000013024.45580.e9
Keywords
Lie algebra; free amalgamated product of Lie algebras; equation over a Lie algebra; coordinate algebra; zero divisor
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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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