Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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}
Linking options:
  • https://www.mathnet.ru/eng/znsl1198
  • https://www.mathnet.ru/eng/znsl/v265/p198
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:325
    Full-text PDF :161
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024