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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 265, Pages 198–201 (Mi znsl1198)  
This article is cited in 7 scientific papers (total in 7 papers)

Note on bi-ideals in ordered semigroups and in ordered groups

N. Kehayopulua, I. S. Ponizovskiib, M. Tsingelisc

a National and Capodistrian University of Athens, Department of Mathematics
b Russian State Hydrometeorological University
c University of Patras
Full-text PDF (103 kB) Citations (7)
Abstract: It is shown that an ordered semigroup is right and left simple if and only if it does not contain proper bi-ideals. An example is constructed showing that an ordered semigroups without proper bi-ideals need not be an ordered group.
Received: 15.12.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 112, Issue 4, Pages 4353–4354
DOI: https://doi.org/10.1023/A:1020347003781
Bibliographic databases:
UDC: 511.23
Language: English
Citation: N. Kehayopulu, I. S. Ponizovskii, M. Tsingelis, “Note on bi-ideals in ordered semigroups and in ordered groups”, Problems in the theory of representations of algebras and groups. Part 6, Zap. Nauchn. Sem. POMI, 265, POMI, St. Petersburg, 1999, 198–201; J. Math. Sci. (New York), 112:4 (2002), 4353–4354
Citation in format AMSBIB
\Bibitem{KehPonTsi99}
\by N.~Kehayopulu, I.~S.~Ponizovskii, M.~Tsingelis
\paper Note on bi-ideals in ordered semigroups and in ordered groups
\inbook Problems in the theory of representations of algebras and groups. Part~6
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 265
\pages 198--201
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1198}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1757824}
\zmath{https://zbmath.org/?q=an:1047.06008}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 112
\issue 4
\pages 4353--4354
\crossref{https://doi.org/10.1023/A:1020347003781}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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