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Matematicheskie Zametki, 1973, Volume 14, Issue 2, Pages 267–277 (Mi mzm7257)  
This article is cited in 8 scientific papers (total in 8 papers)

On $F$-semigroups with three generators

L. G. Budkina, A. A. Markov

N. I. Lobachevskii Gor'kii State University
Full-text PDF (836 kB) Citations (8)
Abstract: All $F$-semigroups (i.e., semigroups isomorphic to finitely generated subsemigroups of a free semigroup) with three generators are finitely defined. The necessary and sufficient condition is obtained for which the equation in the words $Z^n=\varphi(X,Y)$ has a nontrival solution.
Received: 07.09.1972
English version:
Mathematical Notes, 1973, Volume 14, Issue 2, Pages 711–716
DOI: https://doi.org/10.1007/BF01147120
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: L. G. Budkina, A. A. Markov, “On $F$-semigroups with three generators”, Mat. Zametki, 14:2 (1973), 267–277; Math. Notes, 14:2 (1973), 711–716
Citation in format AMSBIB
\Bibitem{BudMar73}
\by L.~G.~Budkina, A.~A.~Markov
\paper On $F$-semigroups with three generators
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 2
\pages 267--277
\mathnet{http://mi.mathnet.ru/mzm7257}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=327948}
\zmath{https://zbmath.org/?q=an:0283.20038}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 2
\pages 711--716
\crossref{https://doi.org/10.1007/BF01147120}
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  • https://www.mathnet.ru/eng/mzm/v14/i2/p267
    • This publication is cited in the following 8 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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