RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. POMI, 1999 Volume 265, Pages 198–201 (Mi znsl1198)
This article is cited 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

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.

UDC: 511.23

Received: 15.12.1999

Language: English


 English version: Journal of Mathematical Sciences (New York), 2002, 112:4, 4353–4354

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024