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Mathematics of the USSR-Izvestiya, 1983, Volume 20, Issue 1, Pages 89–95
DOI: https://doi.org/10.1070/IM1983v020n01ABEH001340
(Mi im1606)
 

This article is cited in 8 scientific papers (total in 8 papers)

On semigroups with one relation and semigroups without cycles

G. U. Oganesyan
References:
Abstract: The left divisibility problem for semigroups without left cycles is reduced to the same problem for semigroups which describe certain transformations of words in the original semigroup. Using this reduction one can solve positively the word and left divisibility problems for semigroups of the form $\langle a,b;\ a=bAa\rangle$, where $A$ is an arbitrary word in the alphabet $a,b$.
Bibliography: 5 titles.
Received: 16.01.1981
Bibliographic databases:
UDC: 519.444
MSC: Primary 20M05; Secondary 03D40
Language: English
Original paper language: Russian
Citation: G. U. Oganesyan, “On semigroups with one relation and semigroups without cycles”, Math. USSR-Izv., 20:1 (1983), 89–95
Citation in format AMSBIB
\Bibitem{Hov82}
\by G.~U.~Oganesyan
\paper On semigroups with one relation and semigroups without cycles
\jour Math. USSR-Izv.
\yr 1983
\vol 20
\issue 1
\pages 89--95
\mathnet{http://mi.mathnet.ru//eng/im1606}
\crossref{https://doi.org/10.1070/IM1983v020n01ABEH001340}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=643894}
\zmath{https://zbmath.org/?q=an:0506.20024|0492.20039}
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  • https://doi.org/10.1070/IM1983v020n01ABEH001340
  • https://www.mathnet.ru/eng/im/v46/i1/p88
  • 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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