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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 5, Pages 1178–1183 (Mi smj1127)  
This article is cited in 2 scientific papers (total in 2 papers)

The inverse function theorem for free associative algebras

V. A. Roman'kov

Omsk State University
Full-text PDF (170 kB) Citations (2)
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Abstract: We obtain a necessary and sufficient condition for a given collection of elements to freely generate a free associative algebra. We present some necessary conditions for primitivity of an element of a free associative algebra of rank 2.
Keywords: free associative algebra, endomorphism, automorphism, free derivation, primitive element, the set of free generators.
Received: 13.01.2004
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 5, Pages 969–973
DOI: https://doi.org/10.1023/B:SIMJ.0000042484.83993.9c
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: V. A. Roman'kov, “The inverse function theorem for free associative algebras”, Sibirsk. Mat. Zh., 45:5 (2004), 1178–1183; Siberian Math. J., 45:5 (2004), 969–973
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\pages 969--973
\crossref{https://doi.org/10.1023/B:SIMJ.0000042484.83993.9c}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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