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Mathematics of the USSR-Izvestiya, 1982, Volume 19, Issue 3, Pages 643–656
DOI: https://doi.org/10.1070/IM1982v019n03ABEH001430 (Mi im1718) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On the word and divisibility problems in semigroups and groups without cycles

O. A. Sarkisyan
English version PDF (825 kB) Citations (8)
References:
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DOI: https://doi.org/10.1070/IM1982v019n03ABEH001430
Abstract: The author proves the solvability of the right and left divisibility problems, and consequently the word problem in semigroups with a system of defining relations that do not contain cycles. In particular the solvability of the word problem in groups without cycles is proved.
Bibliography: 3 titles.
Received: 15.01.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1981, Volume 45, Issue 6, Pages 1424–1440
Bibliographic databases:
UDC: 519.4
MSC: Primary 20M05; Secondary 20F10, 03D40
Language: English
Original paper language: Russian
Citation: O. A. Sarkisyan, “On the word and divisibility problems in semigroups and groups without cycles”, Izv. Akad. Nauk SSSR Ser. Mat., 45:6 (1981), 1424–1440; Math. USSR-Izv., 19:3 (1982), 643–656
Citation in format AMSBIB
\Bibitem{Sar81}
\by O.~A.~Sarkisyan
\paper On~the word and divisibility problems in semigroups and groups without cycles
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1981
\vol 45
\issue 6
\pages 1424--1440
\mathnet{http://mi.mathnet.ru/im1718}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=641806}
\zmath{https://zbmath.org/?q=an:0517.20033}
\transl
\jour Math. USSR-Izv.
\yr 1982
\vol 19
\issue 3
\pages 643--656
\crossref{https://doi.org/10.1070/IM1982v019n03ABEH001430}
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  • https://www.mathnet.ru/eng/im/v45/i6/p1424
    • 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
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:292
    Russian version PDF:102
    English version PDF:11
    References:37
    First page:1
     
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