Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 4, Tome 227 (1995), pp. 83-88
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Niovi Kehayopulu; J. S. Ponizovskii. The chain of right simple semigroups in ordered semigroups. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 4, Tome 227 (1995), pp. 83-88. http://geodesic.mathdoc.fr/item/ZNSL_1995_227_a10/
@article{ZNSL_1995_227_a10,
author = {Niovi Kehayopulu and J. S. Ponizovskii},
title = {The chain of right simple semigroups in ordered semigroups},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {83--88},
year = {1995},
volume = {227},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_227_a10/}
}
TY - JOUR
AU - Niovi Kehayopulu
AU - J. S. Ponizovskii
TI - The chain of right simple semigroups in ordered semigroups
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1995
SP - 83
EP - 88
VL - 227
UR - http://geodesic.mathdoc.fr/item/ZNSL_1995_227_a10/
LA - en
ID - ZNSL_1995_227_a10
ER -
%0 Journal Article
%A Niovi Kehayopulu
%A J. S. Ponizovskii
%T The chain of right simple semigroups in ordered semigroups
%J Zapiski Nauchnykh Seminarov POMI
%D 1995
%P 83-88
%V 227
%U http://geodesic.mathdoc.fr/item/ZNSL_1995_227_a10/
%G en
%F ZNSL_1995_227_a10
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.
