Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 198-201
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N. Kehayopulu; I. S. Ponizovskii; M. Tsingelis. Note on bi-ideals in ordered semigroups and in ordered groups. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 198-201. http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a13/
@article{ZNSL_1999_265_a13,
author = {N. Kehayopulu and I. S. Ponizovskii and M. Tsingelis},
title = {Note on bi-ideals in ordered semigroups and in ordered groups},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {198--201},
year = {1999},
volume = {265},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a13/}
}
TY - JOUR
AU - N. Kehayopulu
AU - I. S. Ponizovskii
AU - M. Tsingelis
TI - Note on bi-ideals in ordered semigroups and in ordered groups
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1999
SP - 198
EP - 201
VL - 265
UR - http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a13/
LA - en
ID - ZNSL_1999_265_a13
ER -
%0 Journal Article
%A N. Kehayopulu
%A I. S. Ponizovskii
%A M. Tsingelis
%T Note on bi-ideals in ordered semigroups and in ordered groups
%J Zapiski Nauchnykh Seminarov POMI
%D 1999
%P 198-201
%V 265
%U http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a13/
%G en
%F ZNSL_1999_265_a13
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.
