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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 1, Pages 229–238 (Mi smj1061)  
This article is cited in 2 scientific papers (total in 2 papers)

Zero divisors in amalgamated free products of Lie algebras

I. V. Chirkov, M. A. Shevelin

Omsk State University
Full-text PDF (212 kB) Citations (2)
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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 a Lie algebra, coordinate algebra, zero divisor.
Received: 29.04.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 1, Pages 188–195
DOI: https://doi.org/10.1023/B:SIMJ.0000013024.45580.e9
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: I. V. Chirkov, M. A. Shevelin, “Zero divisors in amalgamated free products of Lie algebras”, Sibirsk. Mat. Zh., 45:1 (2004), 229–238; Siberian Math. J., 45:1 (2004), 188–195
Citation in format AMSBIB
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\jour Siberian Math. J.
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\pages 188--195
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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