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Mathematics of the USSR-Izvestiya, 1978, Volume 12, Issue 2, Pages 207–212
DOI: https://doi.org/10.1070/IM1978v012n02ABEH001848 (Mi im1710) 		 
This article is cited in 13 scientific papers (total in 14 papers)

On the word and divisibility problems in semigroups with a single defining relation

S. I. Adian, G. U. Oganesyan
English version PDF (337 kB) Citations (14) Russian version article
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DOI: https://doi.org/10.1070/IM1978v012n02ABEH001848
Abstract: It is proved that the word problem and left (right) divisibility problem in an arbitrary semigroup with a single defining relation can be reduced to the respective problems for a single relation which is left (or right) noncancellative.
Bibliography: 2 titles.
Received: 14.02.1977
Bibliographic databases:
Document Type: Article
UDC: 519.444
MSC: Primary 20M05; Secondary 20F47
Language: English
Original paper language: Russian
Citation: S. I. Adian, G. U. Oganesyan, “On the word and divisibility problems in semigroups with a single defining relation”, Math. USSR-Izv., 12:2 (1978), 207–212
Citation in format AMSBIB
\Bibitem{AdiHov78}
\by S.~I.~Adian, G.~U.~Oganesyan
\paper On the word and divisibility problems in semigroups with a~single defining relation
\jour Math. USSR-Izv.
\yr 1978
\vol 12
\issue 2
\pages 207--212
\mathnet{http://mi.mathnet.ru/eng/im1710}
\crossref{https://doi.org/10.1070/IM1978v012n02ABEH001848}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=480782}
\zmath{https://zbmath.org/?q=an:0389.20047|0401.20050}
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  • https://www.mathnet.ru/eng/im/v42/i2/p219
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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