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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 227, Pages 83–88 (Mi znsl4267)  
The chain of right simple semigroups in ordered semigroups

Niovi Kehayopulua, J. S. Ponizovskiib

a University of Athens, Greece
b Российский государственный гидрометеорологический институт, Санкт-Петербург
Full-text PDF (251 kB)
Abstract: The relation $\le$ is defined on the set of right ideals of an ordered semigroup. The main result of this paper is as follows: an ordered semigroup $S$ is a chain of right simple ordered semigroups if and only if $\le$ is an order relation. Bibliography: 3 titles.
Received: 10.03.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 89, Issue 2, Pages 1133–1137
DOI: https://doi.org/10.1007/BF02355861
Bibliographic databases:
Document Type: Article
UDC: 512
Language: English
Citation: Niovi Kehayopulu, J. S. Ponizovskii, “The chain of right simple semigroups in ordered semigroups”, Problems in the theory of representations of algebras and groups. Part 4, Zap. Nauchn. Sem. POMI, 227, POMI, St. Petersburg, 1995, 83–88; J. Math. Sci. (New York), 89:2 (1998), 1133–1137
Citation in format AMSBIB
\Bibitem{KehPon95}
\by Niovi~Kehayopulu, J.~S.~Ponizovskii
\paper The chain of right simple semigroups in ordered semigroups
\inbook Problems in the theory of representations of algebras and groups. Part~4
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 227
\pages 83--88
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4267}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1374561}
\zmath{https://zbmath.org/?q=an:0898.06007|0885.06007}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 89
\issue 2
\pages 1133--1137
\crossref{https://doi.org/10.1007/BF02355861}
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