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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 358, Pages 5–22 (Mi znsl2142)  
This article is cited in 14 scientific papers (total in 14 papers)

Complexity of the identity checking problem for finite semigroups

J. Almeidaa, M. V. Volkovb, S. V. Gol'dbergb

a University of Porto
b Ural State University
Full-text PDF (281 kB) Citations (14)
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Abstract: We prove that the identity checking problem in a finite semigroup $S$ is co-NP-complete whenever $S$ has a nonsolvable subgroup or $S$ is the semigroup of all transformations on a 3-element set. Bibl. – 31 titles.
Received: 04.06.2007
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 158, Issue 5, Pages 605–614
DOI: https://doi.org/10.1007/s10958-009-9397-z
Bibliographic databases:
UDC: 512.552
Language: Russian
Citation: J. Almeida, M. V. Volkov, S. V. Gol'dberg, “Complexity of the identity checking problem for finite semigroups”, Studies in constructive mathematics and mathematical logic. Part XI, Zap. Nauchn. Sem. POMI, 358, POMI, St. Petersburg, 2008, 5–22; J. Math. Sci. (N. Y.), 158:5 (2009), 605–614
Citation in format AMSBIB
\Bibitem{AlmVolGol08}
\by J.~Almeida, M.~V.~Volkov, S.~V.~Gol'dberg
\paper Complexity of the identity checking problem for finite semigroups
\inbook Studies in constructive mathematics and mathematical logic. Part~XI
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 358
\pages 5--22
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2142}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 158
\issue 5
\pages 605--614
\crossref{https://doi.org/10.1007/s10958-009-9397-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67349207363}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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