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Matematicheskie Zametki, 1972, Volume 11, Issue 5, Pages 537–544 (Mi mzm9820)  

This article is cited in 3 scientific papers (total in 3 papers)

Free factor algebras of free linear $\Omega$-algebras

M. S. Burgin

M. V. Lomonosov Moscow State University
Abstract: This paper concerns free linear $\Omega$-algebras in certain varieties and their subalgebras and factor algebras. Conditions are given ensuring that an epimorphic image of a free linear $\Omega$-algebra in a variety given by permutation identities of zero order is free in this variety. An example is constructed of a variety of linear algebras in which this assertion is false.
Received: 20.08.1971
English version:
Mathematical Notes, 1972, Volume 11, Issue 5, Pages 328–331
DOI: https://doi.org/10.1007/BF01158646
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: M. S. Burgin, “Free factor algebras of free linear $\Omega$-algebras”, Mat. Zametki, 11:5 (1972), 537–544; Math. Notes, 11:5 (1972), 328–331
Citation in format AMSBIB
\Bibitem{Bur72}
\by M.~S.~Burgin
\paper Free factor algebras of free linear $\Omega$-algebras
\jour Mat. Zametki
\yr 1972
\vol 11
\issue 5
\pages 537--544
\mathnet{http://mi.mathnet.ru/mzm9820}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=304273}
\zmath{https://zbmath.org/?q=an:0249.08005}
\transl
\jour Math. Notes
\yr 1972
\vol 11
\issue 5
\pages 328--331
\crossref{https://doi.org/10.1007/BF01158646}
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  • https://www.mathnet.ru/eng/mzm/v11/i5/p537
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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