|
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
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
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
Linking options:
https://www.mathnet.ru/eng/znsl1198 https://www.mathnet.ru/eng/znsl/v265/p198
|
Statistics & downloads: |
Abstract page: | 313 | Full-text PDF : | 150 |
|