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Zero Divisors in Amalgamated Free Products of Lie Algebras |
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| Authors: | Chirkov I. V. Shevelin M. A. |
| Affiliation: | (1) Omsk State University, Russia |
| 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. |
| Keywords: | Lie algebra free amalgamated product of Lie algebras equation over Lie algebra coordinate algebra zero divisor |
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